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Finding the Third Proportional to 345,950 and 752,485

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Solution

The third proportional to 345,950 and 752,485 is: 1,636,750.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,950 : 752,485 = 752,485 : x
  2. Step 2: Convert to fraction form
    345,950/752,485 = 752,485/x
  3. Step 3: Cross multiply
    345,950x = 752,485 × 752,485
  4. Step 4: Simplify right side
    345,950x = 566,233,675,225
  5. Step 5: Solve for x
    x = 566,233,675,225/345,950
  6. Step 6: Final answer
    x = 1,636,750.04

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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.