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Finding the Third Proportional to 284,883 and 665,550

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Solution

The third proportional to 284,883 and 665,550 is: 1,554,872.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,883 : 665,550 = 665,550 : x
  2. Step 2: Convert to fraction form
    284,883/665,550 = 665,550/x
  3. Step 3: Cross multiply
    284,883x = 665,550 × 665,550
  4. Step 4: Simplify right side
    284,883x = 442,956,802,500
  5. Step 5: Solve for x
    x = 442,956,802,500/284,883
  6. Step 6: Final answer
    x = 1,554,872.71

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.