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Finding the Third Proportional to 284,560 and 658,696

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Solution

The third proportional to 284,560 and 658,696 is: 1,524,741.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,560 : 658,696 = 658,696 : x
  2. Step 2: Convert to fraction form
    284,560/658,696 = 658,696/x
  3. Step 3: Cross multiply
    284,560x = 658,696 × 658,696
  4. Step 4: Simplify right side
    284,560x = 433,880,420,416
  5. Step 5: Solve for x
    x = 433,880,420,416/284,560
  6. Step 6: Final answer
    x = 1,524,741.43

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.