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Finding the Third Proportional to 284,371 and 614,345

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Solution

The third proportional to 284,371 and 614,345 is: 1,327,209.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,371 : 614,345 = 614,345 : x
  2. Step 2: Convert to fraction form
    284,371/614,345 = 614,345/x
  3. Step 3: Cross multiply
    284,371x = 614,345 × 614,345
  4. Step 4: Simplify right side
    284,371x = 377,419,779,025
  5. Step 5: Solve for x
    x = 377,419,779,025/284,371
  6. Step 6: Final answer
    x = 1,327,209.10

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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.