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Finding the Third Proportional to 754,524.75 and 1,177,713.75

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Solution

The third proportional to 754,524.75 and 1,177,713.75 is: 1,838,256.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,524.75 : 1,177,713.75 = 1,177,713.75 : x
  2. Step 2: Convert to fraction form
    754,524.75/1,177,713.75 = 1,177,713.75/x
  3. Step 3: Cross multiply
    754,524.75x = 1,177,713.75 × 1,177,713.75
  4. Step 4: Simplify right side
    754,524.75x = 1,387,009,676,939.06
  5. Step 5: Solve for x
    x = 1,387,009,676,939.06/754,524.75
  6. Step 6: Final answer
    x = 1,838,256.04

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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.