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Finding the Third Proportional to 345,948 and 752,481

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Solution

The third proportional to 345,948 and 752,481 is: 1,636,742.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,948 : 752,481 = 752,481 : x
  2. Step 2: Convert to fraction form
    345,948/752,481 = 752,481/x
  3. Step 3: Cross multiply
    345,948x = 752,481 × 752,481
  4. Step 4: Simplify right side
    345,948x = 566,227,655,361
  5. Step 5: Solve for x
    x = 566,227,655,361/345,948
  6. Step 6: Final answer
    x = 1,636,742.10

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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.