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Finding the Third Proportional to 349,769.25 and 747,531

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Solution

The third proportional to 349,769.25 and 747,531 is: 1,597,632.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,769.25 : 747,531 = 747,531 : x
  2. Step 2: Convert to fraction form
    349,769.25/747,531 = 747,531/x
  3. Step 3: Cross multiply
    349,769.25x = 747,531 × 747,531
  4. Step 4: Simplify right side
    349,769.25x = 558,802,595,961
  5. Step 5: Solve for x
    x = 558,802,595,961/349,769.25
  6. Step 6: Final answer
    x = 1,597,632.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.