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Finding the Third Proportional to 209,538.56 and 452,557.13

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Solution

The third proportional to 209,538.56 and 452,557.13 is: 977,423.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,538.56 : 452,557.13 = 452,557.13 : x
  2. Step 2: Convert to fraction form
    209,538.56/452,557.13 = 452,557.13/x
  3. Step 3: Cross multiply
    209,538.56x = 452,557.13 × 452,557.13
  4. Step 4: Simplify right side
    209,538.56x = 204,807,951,388.27
  5. Step 5: Solve for x
    x = 204,807,951,388.27/209,538.56
  6. Step 6: Final answer
    x = 977,423.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.