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Finding the Third Proportional to 452,025.56 and 682,659.14

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Solution

The third proportional to 452,025.56 and 682,659.14 is: 1,030,967.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,025.56 : 682,659.14 = 682,659.14 : x
  2. Step 2: Convert to fraction form
    452,025.56/682,659.14 = 682,659.14/x
  3. Step 3: Cross multiply
    452,025.56x = 682,659.14 × 682,659.14
  4. Step 4: Simplify right side
    452,025.56x = 466,023,502,278.86
  5. Step 5: Solve for x
    x = 466,023,502,278.86/452,025.56
  6. Step 6: Final answer
    x = 1,030,967.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.