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Finding the Third Proportional to 437,468 and 625,578

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Solution

The third proportional to 437,468 and 625,578 is: 894,574.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,468 : 625,578 = 625,578 : x
  2. Step 2: Convert to fraction form
    437,468/625,578 = 625,578/x
  3. Step 3: Cross multiply
    437,468x = 625,578 × 625,578
  4. Step 4: Simplify right side
    437,468x = 391,347,834,084
  5. Step 5: Solve for x
    x = 391,347,834,084/437,468
  6. Step 6: Final answer
    x = 894,574.77

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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.