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Finding the Third Proportional to 284,328 and 560,637

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Solution

The third proportional to 284,328 and 560,637 is: 1,105,462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,328 : 560,637 = 560,637 : x
  2. Step 2: Convert to fraction form
    284,328/560,637 = 560,637/x
  3. Step 3: Cross multiply
    284,328x = 560,637 × 560,637
  4. Step 4: Simplify right side
    284,328x = 314,313,845,769
  5. Step 5: Solve for x
    x = 314,313,845,769/284,328
  6. Step 6: Final answer
    x = 1,105,462.16

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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.