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Finding the Third Proportional to 349,764.75 and 513,165.38

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Solution

The third proportional to 349,764.75 and 513,165.38 is: 752,902.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,764.75 : 513,165.38 = 513,165.38 : x
  2. Step 2: Convert to fraction form
    349,764.75/513,165.38 = 513,165.38/x
  3. Step 3: Cross multiply
    349,764.75x = 513,165.38 × 513,165.38
  4. Step 4: Simplify right side
    349,764.75x = 263,338,702,098.89
  5. Step 5: Solve for x
    x = 263,338,702,098.89/349,764.75
  6. Step 6: Final answer
    x = 752,902.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.