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Finding the Third Proportional to 498,756 and 753,372

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Solution

The third proportional to 498,756 and 753,372 is: 1,137,970.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,756 : 753,372 = 753,372 : x
  2. Step 2: Convert to fraction form
    498,756/753,372 = 753,372/x
  3. Step 3: Cross multiply
    498,756x = 753,372 × 753,372
  4. Step 4: Simplify right side
    498,756x = 567,569,370,384
  5. Step 5: Solve for x
    x = 567,569,370,384/498,756
  6. Step 6: Final answer
    x = 1,137,970.01

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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.