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Finding the Third Proportional to 437,466 and 625,574

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Solution

The third proportional to 437,466 and 625,574 is: 894,567.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,466 : 625,574 = 625,574 : x
  2. Step 2: Convert to fraction form
    437,466/625,574 = 625,574/x
  3. Step 3: Cross multiply
    437,466x = 625,574 × 625,574
  4. Step 4: Simplify right side
    437,466x = 391,342,829,476
  5. Step 5: Solve for x
    x = 391,342,829,476/437,466
  6. Step 6: Final answer
    x = 894,567.42

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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.