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Finding the Third Proportional to 349,767 and 531,481

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Solution

The third proportional to 349,767 and 531,481 is: 807,600.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,767 : 531,481 = 531,481 : x
  2. Step 2: Convert to fraction form
    349,767/531,481 = 531,481/x
  3. Step 3: Cross multiply
    349,767x = 531,481 × 531,481
  4. Step 4: Simplify right side
    349,767x = 282,472,053,361
  5. Step 5: Solve for x
    x = 282,472,053,361/349,767
  6. Step 6: Final answer
    x = 807,600.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.