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Finding the Third Proportional to 350,562 and 762,540

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Solution

The third proportional to 350,562 and 762,540 is: 1,658,671.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,562 : 762,540 = 762,540 : x
  2. Step 2: Convert to fraction form
    350,562/762,540 = 762,540/x
  3. Step 3: Cross multiply
    350,562x = 762,540 × 762,540
  4. Step 4: Simplify right side
    350,562x = 581,467,251,600
  5. Step 5: Solve for x
    x = 581,467,251,600/350,562
  6. Step 6: Final answer
    x = 1,658,671.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.