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Finding the Third Proportional to 548,331 and 817,930

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Solution

The third proportional to 548,331 and 817,930 is: 1,220,083.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,331 : 817,930 = 817,930 : x
  2. Step 2: Convert to fraction form
    548,331/817,930 = 817,930/x
  3. Step 3: Cross multiply
    548,331x = 817,930 × 817,930
  4. Step 4: Simplify right side
    548,331x = 669,009,484,900
  5. Step 5: Solve for x
    x = 669,009,484,900/548,331
  6. Step 6: Final answer
    x = 1,220,083.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.