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Finding the Third Proportional to 252,450.11 and 546,950.92

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Solution

The third proportional to 252,450.11 and 546,950.92 is: 1,185,007.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,450.11 : 546,950.92 = 546,950.92 : x
  2. Step 2: Convert to fraction form
    252,450.11/546,950.92 = 546,950.92/x
  3. Step 3: Cross multiply
    252,450.11x = 546,950.92 × 546,950.92
  4. Step 4: Simplify right side
    252,450.11x = 299,155,306,666.86
  5. Step 5: Solve for x
    x = 299,155,306,666.86/252,450.11
  6. Step 6: Final answer
    x = 1,185,007.65

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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.