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Finding the Third Proportional to 491,552 and 737,712

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Solution

The third proportional to 491,552 and 737,712 is: 1,107,144.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,552 : 737,712 = 737,712 : x
  2. Step 2: Convert to fraction form
    491,552/737,712 = 737,712/x
  3. Step 3: Cross multiply
    491,552x = 737,712 × 737,712
  4. Step 4: Simplify right side
    491,552x = 544,218,994,944
  5. Step 5: Solve for x
    x = 544,218,994,944/491,552
  6. Step 6: Final answer
    x = 1,107,144.30

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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.