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Finding the Third Proportional to 416,313 and 658,584

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Solution

The third proportional to 416,313 and 658,584 is: 1,041,843.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,313 : 658,584 = 658,584 : x
  2. Step 2: Convert to fraction form
    416,313/658,584 = 658,584/x
  3. Step 3: Cross multiply
    416,313x = 658,584 × 658,584
  4. Step 4: Simplify right side
    416,313x = 433,732,885,056
  5. Step 5: Solve for x
    x = 433,732,885,056/416,313
  6. Step 6: Final answer
    x = 1,041,843.24

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.