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Finding the Third Proportional to 329,977.13 and 591,337.13

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Solution

The third proportional to 329,977.13 and 591,337.13 is: 1,059,708.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,977.13 : 591,337.13 = 591,337.13 : x
  2. Step 2: Convert to fraction form
    329,977.13/591,337.13 = 591,337.13/x
  3. Step 3: Cross multiply
    329,977.13x = 591,337.13 × 591,337.13
  4. Step 4: Simplify right side
    329,977.13x = 349,679,595,403.27
  5. Step 5: Solve for x
    x = 349,679,595,403.27/329,977.13
  6. Step 6: Final answer
    x = 1,059,708.59

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.