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Finding the Third Proportional to 469,810 and 725,451

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Solution

The third proportional to 469,810 and 725,451 is: 1,120,195.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,810 : 725,451 = 725,451 : x
  2. Step 2: Convert to fraction form
    469,810/725,451 = 725,451/x
  3. Step 3: Cross multiply
    469,810x = 725,451 × 725,451
  4. Step 4: Simplify right side
    469,810x = 526,279,153,401
  5. Step 5: Solve for x
    x = 526,279,153,401/469,810
  6. Step 6: Final answer
    x = 1,120,195.72

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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.