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Finding the Third Proportional to 366,948 and 548,711

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Solution

The third proportional to 366,948 and 548,711 is: 820,507.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,948 : 548,711 = 548,711 : x
  2. Step 2: Convert to fraction form
    366,948/548,711 = 548,711/x
  3. Step 3: Cross multiply
    366,948x = 548,711 × 548,711
  4. Step 4: Simplify right side
    366,948x = 301,083,761,521
  5. Step 5: Solve for x
    x = 301,083,761,521/366,948
  6. Step 6: Final answer
    x = 820,507.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.