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Finding the Third Proportional to 324,654 and 708,354

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Solution

The third proportional to 324,654 and 708,354 is: 1,545,538.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,654 : 708,354 = 708,354 : x
  2. Step 2: Convert to fraction form
    324,654/708,354 = 708,354/x
  3. Step 3: Cross multiply
    324,654x = 708,354 × 708,354
  4. Step 4: Simplify right side
    324,654x = 501,765,389,316
  5. Step 5: Solve for x
    x = 501,765,389,316/324,654
  6. Step 6: Final answer
    x = 1,545,538.91

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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.