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Finding the Third Proportional to 652,423.50 and 781,645.50

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Solution

The third proportional to 652,423.50 and 781,645.50 is: 936,461.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,423.50 : 781,645.50 = 781,645.50 : x
  2. Step 2: Convert to fraction form
    652,423.50/781,645.50 = 781,645.50/x
  3. Step 3: Cross multiply
    652,423.50x = 781,645.50 × 781,645.50
  4. Step 4: Simplify right side
    652,423.50x = 610,969,687,670.25
  5. Step 5: Solve for x
    x = 610,969,687,670.25/652,423.50
  6. Step 6: Final answer
    x = 936,461.80

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.