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Finding the Third Proportional to 252,082.13 and 553,999.50

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Solution

The third proportional to 252,082.13 and 553,999.50 is: 1,217,521.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,082.13 : 553,999.50 = 553,999.50 : x
  2. Step 2: Convert to fraction form
    252,082.13/553,999.50 = 553,999.50/x
  3. Step 3: Cross multiply
    252,082.13x = 553,999.50 × 553,999.50
  4. Step 4: Simplify right side
    252,082.13x = 306,915,446,000.25
  5. Step 5: Solve for x
    x = 306,915,446,000.25/252,082.13
  6. Step 6: Final answer
    x = 1,217,521.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.