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Finding the Third Proportional to 498,051 and 747,587

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Solution

The third proportional to 498,051 and 747,587 is: 1,122,146.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,051 : 747,587 = 747,587 : x
  2. Step 2: Convert to fraction form
    498,051/747,587 = 747,587/x
  3. Step 3: Cross multiply
    498,051x = 747,587 × 747,587
  4. Step 4: Simplify right side
    498,051x = 558,886,322,569
  5. Step 5: Solve for x
    x = 558,886,322,569/498,051
  6. Step 6: Final answer
    x = 1,122,146.77

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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.