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Finding the Third Proportional to 480,702 and 754,051

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Solution

The third proportional to 480,702 and 754,051 is: 1,182,838.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,702 : 754,051 = 754,051 : x
  2. Step 2: Convert to fraction form
    480,702/754,051 = 754,051/x
  3. Step 3: Cross multiply
    480,702x = 754,051 × 754,051
  4. Step 4: Simplify right side
    480,702x = 568,592,910,601
  5. Step 5: Solve for x
    x = 568,592,910,601/480,702
  6. Step 6: Final answer
    x = 1,182,838.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.