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Finding the Third Proportional to 369,289.13 and 794,711.25

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Solution

The third proportional to 369,289.13 and 794,711.25 is: 1,710,220.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,289.13 : 794,711.25 = 794,711.25 : x
  2. Step 2: Convert to fraction form
    369,289.13/794,711.25 = 794,711.25/x
  3. Step 3: Cross multiply
    369,289.13x = 794,711.25 × 794,711.25
  4. Step 4: Simplify right side
    369,289.13x = 631,565,970,876.56
  5. Step 5: Solve for x
    x = 631,565,970,876.56/369,289.13
  6. Step 6: Final answer
    x = 1,710,220.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.