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Finding the Third Proportional to 417,258 and 625,601

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Solution

The third proportional to 417,258 and 625,601 is: 937,972.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,258 : 625,601 = 625,601 : x
  2. Step 2: Convert to fraction form
    417,258/625,601 = 625,601/x
  3. Step 3: Cross multiply
    417,258x = 625,601 × 625,601
  4. Step 4: Simplify right side
    417,258x = 391,376,611,201
  5. Step 5: Solve for x
    x = 391,376,611,201/417,258
  6. Step 6: Final answer
    x = 937,972.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.