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Finding the Third Proportional to 347,767.17 and 732,895.59

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Solution

The third proportional to 347,767.17 and 732,895.59 is: 1,544,527.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,767.17 : 732,895.59 = 732,895.59 : x
  2. Step 2: Convert to fraction form
    347,767.17/732,895.59 = 732,895.59/x
  3. Step 3: Cross multiply
    347,767.17x = 732,895.59 × 732,895.59
  4. Step 4: Simplify right side
    347,767.17x = 537,135,951,338.17
  5. Step 5: Solve for x
    x = 537,135,951,338.17/347,767.17
  6. Step 6: Final answer
    x = 1,544,527.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.