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Finding the Third Proportional to 625,077 and 933,498

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Solution

The third proportional to 625,077 and 933,498 is: 1,394,097.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,077 : 933,498 = 933,498 : x
  2. Step 2: Convert to fraction form
    625,077/933,498 = 933,498/x
  3. Step 3: Cross multiply
    625,077x = 933,498 × 933,498
  4. Step 4: Simplify right side
    625,077x = 871,418,516,004
  5. Step 5: Solve for x
    x = 871,418,516,004/625,077
  6. Step 6: Final answer
    x = 1,394,097.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.