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Finding the Third Proportional to 502,053.19 and 764,857.69

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Solution

The third proportional to 502,053.19 and 764,857.69 is: 1,165,229.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,053.19 : 764,857.69 = 764,857.69 : x
  2. Step 2: Convert to fraction form
    502,053.19/764,857.69 = 764,857.69/x
  3. Step 3: Cross multiply
    502,053.19x = 764,857.69 × 764,857.69
  4. Step 4: Simplify right side
    502,053.19x = 585,007,282,127.85
  5. Step 5: Solve for x
    x = 585,007,282,127.85/502,053.19
  6. Step 6: Final answer
    x = 1,165,229.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.