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Finding the Third Proportional to 324,700,301.63 and 708,918,269.25

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Solution

The third proportional to 324,700,301.63 and 708,918,269.25 is: 1,547,781,477.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,700,301.63 : 708,918,269.25 = 708,918,269.25 : x
  2. Step 2: Convert to fraction form
    324,700,301.63/708,918,269.25 = 708,918,269.25/x
  3. Step 3: Cross multiply
    324,700,301.63x = 708,918,269.25 × 708,918,269.25
  4. Step 4: Simplify right side
    324,700,301.63x = 502,565,112,476,415,488
  5. Step 5: Solve for x
    x = 502,565,112,476,415,488/324,700,301.63
  6. Step 6: Final answer
    x = 1,547,781,477.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.