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Finding the Third Proportional to 498,461 and 753,642

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Solution

The third proportional to 498,461 and 753,642 is: 1,139,459.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,461 : 753,642 = 753,642 : x
  2. Step 2: Convert to fraction form
    498,461/753,642 = 753,642/x
  3. Step 3: Cross multiply
    498,461x = 753,642 × 753,642
  4. Step 4: Simplify right side
    498,461x = 567,976,264,164
  5. Step 5: Solve for x
    x = 567,976,264,164/498,461
  6. Step 6: Final answer
    x = 1,139,459.79

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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.