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Finding the Third Proportional to 284,423 and 614,458

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Solution

The third proportional to 284,423 and 614,458 is: 1,327,454.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,423 : 614,458 = 614,458 : x
  2. Step 2: Convert to fraction form
    284,423/614,458 = 614,458/x
  3. Step 3: Cross multiply
    284,423x = 614,458 × 614,458
  4. Step 4: Simplify right side
    284,423x = 377,558,633,764
  5. Step 5: Solve for x
    x = 377,558,633,764/284,423
  6. Step 6: Final answer
    x = 1,327,454.65

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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.