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Finding the Third Proportional to 359,928.56 and 787,654.13

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Solution

The third proportional to 359,928.56 and 787,654.13 is: 1,723,672.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,928.56 : 787,654.13 = 787,654.13 : x
  2. Step 2: Convert to fraction form
    359,928.56/787,654.13 = 787,654.13/x
  3. Step 3: Cross multiply
    359,928.56x = 787,654.13 × 787,654.13
  4. Step 4: Simplify right side
    359,928.56x = 620,399,020,629.52
  5. Step 5: Solve for x
    x = 620,399,020,629.52/359,928.56
  6. Step 6: Final answer
    x = 1,723,672.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.