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Finding the Third Proportional to 323,956.13 and 706,870.13

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Solution

The third proportional to 323,956.13 and 706,870.13 is: 1,542,385.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,956.13 : 706,870.13 = 706,870.13 : x
  2. Step 2: Convert to fraction form
    323,956.13/706,870.13 = 706,870.13/x
  3. Step 3: Cross multiply
    323,956.13x = 706,870.13 × 706,870.13
  4. Step 4: Simplify right side
    323,956.13x = 499,665,373,617.52
  5. Step 5: Solve for x
    x = 499,665,373,617.52/323,956.13
  6. Step 6: Final answer
    x = 1,542,385.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.