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Finding the Third Proportional to 498,750 and 753,363

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Solution

The third proportional to 498,750 and 753,363 is: 1,137,956.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,750 : 753,363 = 753,363 : x
  2. Step 2: Convert to fraction form
    498,750/753,363 = 753,363/x
  3. Step 3: Cross multiply
    498,750x = 753,363 × 753,363
  4. Step 4: Simplify right side
    498,750x = 567,555,809,769
  5. Step 5: Solve for x
    x = 567,555,809,769/498,750
  6. Step 6: Final answer
    x = 1,137,956.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.