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Finding the Third Proportional to 514,204 and 790,860

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Solution

The third proportional to 514,204 and 790,860 is: 1,216,364.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,204 : 790,860 = 790,860 : x
  2. Step 2: Convert to fraction form
    514,204/790,860 = 790,860/x
  3. Step 3: Cross multiply
    514,204x = 790,860 × 790,860
  4. Step 4: Simplify right side
    514,204x = 625,459,539,600
  5. Step 5: Solve for x
    x = 625,459,539,600/514,204
  6. Step 6: Final answer
    x = 1,216,364.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.