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Finding the Third Proportional to 210,772.13 and 443,572.88

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Solution

The third proportional to 210,772.13 and 443,572.88 is: 933,505.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,772.13 : 443,572.88 = 443,572.88 : x
  2. Step 2: Convert to fraction form
    210,772.13/443,572.88 = 443,572.88/x
  3. Step 3: Cross multiply
    210,772.13x = 443,572.88 × 443,572.88
  4. Step 4: Simplify right side
    210,772.13x = 196,756,895,435.77
  5. Step 5: Solve for x
    x = 196,756,895,435.77/210,772.13
  6. Step 6: Final answer
    x = 933,505.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.