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Finding the Third Proportional to 349,357.50 and 748,521

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Solution

The third proportional to 349,357.50 and 748,521 is: 1,603,754.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,357.50 : 748,521 = 748,521 : x
  2. Step 2: Convert to fraction form
    349,357.50/748,521 = 748,521/x
  3. Step 3: Cross multiply
    349,357.50x = 748,521 × 748,521
  4. Step 4: Simplify right side
    349,357.50x = 560,283,687,441
  5. Step 5: Solve for x
    x = 560,283,687,441/349,357.50
  6. Step 6: Final answer
    x = 1,603,754.57

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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.