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Finding the Third Proportional to 284,330 and 560,641

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Solution

The third proportional to 284,330 and 560,641 is: 1,105,470.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,330 : 560,641 = 560,641 : x
  2. Step 2: Convert to fraction form
    284,330/560,641 = 560,641/x
  3. Step 3: Cross multiply
    284,330x = 560,641 × 560,641
  4. Step 4: Simplify right side
    284,330x = 314,318,330,881
  5. Step 5: Solve for x
    x = 314,318,330,881/284,330
  6. Step 6: Final answer
    x = 1,105,470.16

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.