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Finding the Third Proportional to 417,253 and 625,597

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Solution

The third proportional to 417,253 and 625,597 is: 937,971.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,253 : 625,597 = 625,597 : x
  2. Step 2: Convert to fraction form
    417,253/625,597 = 625,597/x
  3. Step 3: Cross multiply
    417,253x = 625,597 × 625,597
  4. Step 4: Simplify right side
    417,253x = 391,371,606,409
  5. Step 5: Solve for x
    x = 391,371,606,409/417,253
  6. Step 6: Final answer
    x = 937,971.94

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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.