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Finding the Third Proportional to 221,810 and 485,598

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Solution

The third proportional to 221,810 and 485,598 is: 1,063,096.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,810 : 485,598 = 485,598 : x
  2. Step 2: Convert to fraction form
    221,810/485,598 = 485,598/x
  3. Step 3: Cross multiply
    221,810x = 485,598 × 485,598
  4. Step 4: Simplify right side
    221,810x = 235,805,417,604
  5. Step 5: Solve for x
    x = 235,805,417,604/221,810
  6. Step 6: Final answer
    x = 1,063,096.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.