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Finding the Third Proportional to 283,831.75 and 604,451

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Solution

The third proportional to 283,831.75 and 604,451 is: 1,287,245.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,831.75 : 604,451 = 604,451 : x
  2. Step 2: Convert to fraction form
    283,831.75/604,451 = 604,451/x
  3. Step 3: Cross multiply
    283,831.75x = 604,451 × 604,451
  4. Step 4: Simplify right side
    283,831.75x = 365,361,011,401
  5. Step 5: Solve for x
    x = 365,361,011,401/283,831.75
  6. Step 6: Final answer
    x = 1,287,245.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.