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Finding the Third Proportional to 307,285.73 and 482,041.13

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Solution

The third proportional to 307,285.73 and 482,041.13 is: 756,181.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,285.73 : 482,041.13 = 482,041.13 : x
  2. Step 2: Convert to fraction form
    307,285.73/482,041.13 = 482,041.13/x
  3. Step 3: Cross multiply
    307,285.73x = 482,041.13 × 482,041.13
  4. Step 4: Simplify right side
    307,285.73x = 232,363,646,191.27
  5. Step 5: Solve for x
    x = 232,363,646,191.27/307,285.73
  6. Step 6: Final answer
    x = 756,181.04

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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.