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Finding the Third Proportional to 514,113 and 800,451

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Solution

The third proportional to 514,113 and 800,451 is: 1,246,266.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,113 : 800,451 = 800,451 : x
  2. Step 2: Convert to fraction form
    514,113/800,451 = 800,451/x
  3. Step 3: Cross multiply
    514,113x = 800,451 × 800,451
  4. Step 4: Simplify right side
    514,113x = 640,721,803,401
  5. Step 5: Solve for x
    x = 640,721,803,401/514,113
  6. Step 6: Final answer
    x = 1,246,266.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.