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Finding the Third Proportional to 437,472 and 625,584

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Solution

The third proportional to 437,472 and 625,584 is: 894,583.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,472 : 625,584 = 625,584 : x
  2. Step 2: Convert to fraction form
    437,472/625,584 = 625,584/x
  3. Step 3: Cross multiply
    437,472x = 625,584 × 625,584
  4. Step 4: Simplify right side
    437,472x = 391,355,341,056
  5. Step 5: Solve for x
    x = 391,355,341,056/437,472
  6. Step 6: Final answer
    x = 894,583.75

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.