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Finding the Third Proportional to 580,684.50 and 1,253,214

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Solution

The third proportional to 580,684.50 and 1,253,214 is: 2,704,644.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,684.50 : 1,253,214 = 1,253,214 : x
  2. Step 2: Convert to fraction form
    580,684.50/1,253,214 = 1,253,214/x
  3. Step 3: Cross multiply
    580,684.50x = 1,253,214 × 1,253,214
  4. Step 4: Simplify right side
    580,684.50x = 1,570,545,329,796
  5. Step 5: Solve for x
    x = 1,570,545,329,796/580,684.50
  6. Step 6: Final answer
    x = 2,704,644.83

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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.