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Finding the Third Proportional to 347,155.88 and 524,439.56

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Solution

The third proportional to 347,155.88 and 524,439.56 is: 792,257.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,155.88 : 524,439.56 = 524,439.56 : x
  2. Step 2: Convert to fraction form
    347,155.88/524,439.56 = 524,439.56/x
  3. Step 3: Cross multiply
    347,155.88x = 524,439.56 × 524,439.56
  4. Step 4: Simplify right side
    347,155.88x = 275,036,854,715.19
  5. Step 5: Solve for x
    x = 275,036,854,715.19/347,155.88
  6. Step 6: Final answer
    x = 792,257.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.