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Finding the Third Proportional to 402,524 and 838,116

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Solution

The third proportional to 402,524 and 838,116 is: 1,745,084.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,524 : 838,116 = 838,116 : x
  2. Step 2: Convert to fraction form
    402,524/838,116 = 838,116/x
  3. Step 3: Cross multiply
    402,524x = 838,116 × 838,116
  4. Step 4: Simplify right side
    402,524x = 702,438,429,456
  5. Step 5: Solve for x
    x = 702,438,429,456/402,524
  6. Step 6: Final answer
    x = 1,745,084.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.