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Finding the Third Proportional to 347,080.50 and 524,318.91

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Solution

The third proportional to 347,080.50 and 524,318.91 is: 792,065.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,080.50 : 524,318.91 = 524,318.91 : x
  2. Step 2: Convert to fraction form
    347,080.50/524,318.91 = 524,318.91/x
  3. Step 3: Cross multiply
    347,080.50x = 524,318.91 × 524,318.91
  4. Step 4: Simplify right side
    347,080.50x = 274,910,315,451.20
  5. Step 5: Solve for x
    x = 274,910,315,451.20/347,080.50
  6. Step 6: Final answer
    x = 792,065.00

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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.