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Finding the Third Proportional to 221,769 and 476,748

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Solution

The third proportional to 221,769 and 476,748 is: 1,024,889.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,769 : 476,748 = 476,748 : x
  2. Step 2: Convert to fraction form
    221,769/476,748 = 476,748/x
  3. Step 3: Cross multiply
    221,769x = 476,748 × 476,748
  4. Step 4: Simplify right side
    221,769x = 227,288,655,504
  5. Step 5: Solve for x
    x = 227,288,655,504/221,769
  6. Step 6: Final answer
    x = 1,024,889.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.