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Finding the Third Proportional to 284,086.13 and 631,231.88

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Solution

The third proportional to 284,086.13 and 631,231.88 is: 1,402,580.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,086.13 : 631,231.88 = 631,231.88 : x
  2. Step 2: Convert to fraction form
    284,086.13/631,231.88 = 631,231.88/x
  3. Step 3: Cross multiply
    284,086.13x = 631,231.88 × 631,231.88
  4. Step 4: Simplify right side
    284,086.13x = 398,453,680,016.02
  5. Step 5: Solve for x
    x = 398,453,680,016.02/284,086.13
  6. Step 6: Final answer
    x = 1,402,580.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.