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Finding the Third Proportional to 341,439.75 and 732,694.50

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Solution

The third proportional to 341,439.75 and 732,694.50 is: 1,572,286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,439.75 : 732,694.50 = 732,694.50 : x
  2. Step 2: Convert to fraction form
    341,439.75/732,694.50 = 732,694.50/x
  3. Step 3: Cross multiply
    341,439.75x = 732,694.50 × 732,694.50
  4. Step 4: Simplify right side
    341,439.75x = 536,841,230,330.25
  5. Step 5: Solve for x
    x = 536,841,230,330.25/341,439.75
  6. Step 6: Final answer
    x = 1,572,286.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.