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Finding the Third Proportional to 284,368 and 614,339

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Solution

The third proportional to 284,368 and 614,339 is: 1,327,197.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,368 : 614,339 = 614,339 : x
  2. Step 2: Convert to fraction form
    284,368/614,339 = 614,339/x
  3. Step 3: Cross multiply
    284,368x = 614,339 × 614,339
  4. Step 4: Simplify right side
    284,368x = 377,412,406,921
  5. Step 5: Solve for x
    x = 377,412,406,921/284,368
  6. Step 6: Final answer
    x = 1,327,197.18

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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.