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Finding the Third Proportional to 284,417 and 614,442

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Solution

The third proportional to 284,417 and 614,442 is: 1,327,413.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,417 : 614,442 = 614,442 : x
  2. Step 2: Convert to fraction form
    284,417/614,442 = 614,442/x
  3. Step 3: Cross multiply
    284,417x = 614,442 × 614,442
  4. Step 4: Simplify right side
    284,417x = 377,538,971,364
  5. Step 5: Solve for x
    x = 377,538,971,364/284,417
  6. Step 6: Final answer
    x = 1,327,413.52

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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.