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Finding the Third Proportional to 293,604.75 and 466,651.13

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Solution

The third proportional to 293,604.75 and 466,651.13 is: 741,688.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,604.75 : 466,651.13 = 466,651.13 : x
  2. Step 2: Convert to fraction form
    293,604.75/466,651.13 = 466,651.13/x
  3. Step 3: Cross multiply
    293,604.75x = 466,651.13 × 466,651.13
  4. Step 4: Simplify right side
    293,604.75x = 217,763,272,463.77
  5. Step 5: Solve for x
    x = 217,763,272,463.77/293,604.75
  6. Step 6: Final answer
    x = 741,688.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.