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Finding the Third Proportional to 324,501.19 and 710,101.69

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Solution

The third proportional to 324,501.19 and 710,101.69 is: 1,553,906.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,501.19 : 710,101.69 = 710,101.69 : x
  2. Step 2: Convert to fraction form
    324,501.19/710,101.69 = 710,101.69/x
  3. Step 3: Cross multiply
    324,501.19x = 710,101.69 × 710,101.69
  4. Step 4: Simplify right side
    324,501.19x = 504,244,406,590.35
  5. Step 5: Solve for x
    x = 504,244,406,590.35/324,501.19
  6. Step 6: Final answer
    x = 1,553,906.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.