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Finding the Third Proportional to 349,384.50 and 752,265

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Solution

The third proportional to 349,384.50 and 752,265 is: 1,619,713.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,384.50 : 752,265 = 752,265 : x
  2. Step 2: Convert to fraction form
    349,384.50/752,265 = 752,265/x
  3. Step 3: Cross multiply
    349,384.50x = 752,265 × 752,265
  4. Step 4: Simplify right side
    349,384.50x = 565,902,630,225
  5. Step 5: Solve for x
    x = 565,902,630,225/349,384.50
  6. Step 6: Final answer
    x = 1,619,713.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.