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Finding the Third Proportional to 284,822 and 614,677

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Solution

The third proportional to 284,822 and 614,677 is: 1,326,540.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,822 : 614,677 = 614,677 : x
  2. Step 2: Convert to fraction form
    284,822/614,677 = 614,677/x
  3. Step 3: Cross multiply
    284,822x = 614,677 × 614,677
  4. Step 4: Simplify right side
    284,822x = 377,827,814,329
  5. Step 5: Solve for x
    x = 377,827,814,329/284,822
  6. Step 6: Final answer
    x = 1,326,540.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.