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Finding the Third Proportional to 468,765 and 663,733.13

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Solution

The third proportional to 468,765 and 663,733.13 is: 939,792.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,765 : 663,733.13 = 663,733.13 : x
  2. Step 2: Convert to fraction form
    468,765/663,733.13 = 663,733.13/x
  3. Step 3: Cross multiply
    468,765x = 663,733.13 × 663,733.13
  4. Step 4: Simplify right side
    468,765x = 440,541,661,222.27
  5. Step 5: Solve for x
    x = 440,541,661,222.27/468,765
  6. Step 6: Final answer
    x = 939,792.14

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.