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Finding the Third Proportional to 323,250.75 and 513,307.13

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Solution

The third proportional to 323,250.75 and 513,307.13 is: 815,107.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,250.75 : 513,307.13 = 513,307.13 : x
  2. Step 2: Convert to fraction form
    323,250.75/513,307.13 = 513,307.13/x
  3. Step 3: Cross multiply
    323,250.75x = 513,307.13 × 513,307.13
  4. Step 4: Simplify right side
    323,250.75x = 263,484,204,575.77
  5. Step 5: Solve for x
    x = 263,484,204,575.77/323,250.75
  6. Step 6: Final answer
    x = 815,107.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.