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Finding the Third Proportional to 458,753.63 and 1,079,357.63

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Solution

The third proportional to 458,753.63 and 1,079,357.63 is: 2,539,517.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,753.63 : 1,079,357.63 = 1,079,357.63 : x
  2. Step 2: Convert to fraction form
    458,753.63/1,079,357.63 = 1,079,357.63/x
  3. Step 3: Cross multiply
    458,753.63x = 1,079,357.63 × 1,079,357.63
  4. Step 4: Simplify right side
    458,753.63x = 1,165,012,882,645.64
  5. Step 5: Solve for x
    x = 1,165,012,882,645.64/458,753.63
  6. Step 6: Final answer
    x = 2,539,517.55

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.