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Finding the Third Proportional to 415,022 and 610,664

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Solution

The third proportional to 415,022 and 610,664 is: 898,531.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,022 : 610,664 = 610,664 : x
  2. Step 2: Convert to fraction form
    415,022/610,664 = 610,664/x
  3. Step 3: Cross multiply
    415,022x = 610,664 × 610,664
  4. Step 4: Simplify right side
    415,022x = 372,910,520,896
  5. Step 5: Solve for x
    x = 372,910,520,896/415,022
  6. Step 6: Final answer
    x = 898,531.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.