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Finding the Third Proportional to 652,951.13 and 733,915.69

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Solution

The third proportional to 652,951.13 and 733,915.69 is: 824,919.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,951.13 : 733,915.69 = 733,915.69 : x
  2. Step 2: Convert to fraction form
    652,951.13/733,915.69 = 733,915.69/x
  3. Step 3: Cross multiply
    652,951.13x = 733,915.69 × 733,915.69
  4. Step 4: Simplify right side
    652,951.13x = 538,632,236,358.60
  5. Step 5: Solve for x
    x = 538,632,236,358.60/652,951.13
  6. Step 6: Final answer
    x = 824,919.69

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.