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Finding the Third Proportional to 223,764 and 485,624

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Solution

The third proportional to 223,764 and 485,624 is: 1,053,925.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,764 : 485,624 = 485,624 : x
  2. Step 2: Convert to fraction form
    223,764/485,624 = 485,624/x
  3. Step 3: Cross multiply
    223,764x = 485,624 × 485,624
  4. Step 4: Simplify right side
    223,764x = 235,830,669,376
  5. Step 5: Solve for x
    x = 235,830,669,376/223,764
  6. Step 6: Final answer
    x = 1,053,925.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.