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Finding the Third Proportional to 754,531.50 and 1,177,723.13

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Solution

The third proportional to 754,531.50 and 1,177,723.13 is: 1,838,268.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,531.50 : 1,177,723.13 = 1,177,723.13 : x
  2. Step 2: Convert to fraction form
    754,531.50/1,177,723.13 = 1,177,723.13/x
  3. Step 3: Cross multiply
    754,531.50x = 1,177,723.13 × 1,177,723.13
  4. Step 4: Simplify right side
    754,531.50x = 1,387,031,759,159.77
  5. Step 5: Solve for x
    x = 1,387,031,759,159.77/754,531.50
  6. Step 6: Final answer
    x = 1,838,268.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.