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Finding the Third Proportional to 402,409.13 and 544,564.69

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Solution

The third proportional to 402,409.13 and 544,564.69 is: 736,938.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,409.13 : 544,564.69 = 544,564.69 : x
  2. Step 2: Convert to fraction form
    402,409.13/544,564.69 = 544,564.69/x
  3. Step 3: Cross multiply
    402,409.13x = 544,564.69 × 544,564.69
  4. Step 4: Simplify right side
    402,409.13x = 296,550,698,871.97
  5. Step 5: Solve for x
    x = 296,550,698,871.97/402,409.13
  6. Step 6: Final answer
    x = 736,938.31

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.