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Finding the Third Proportional to 284,426 and 614,464

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Solution

The third proportional to 284,426 and 614,464 is: 1,327,466.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,426 : 614,464 = 614,464 : x
  2. Step 2: Convert to fraction form
    284,426/614,464 = 614,464/x
  3. Step 3: Cross multiply
    284,426x = 614,464 × 614,464
  4. Step 4: Simplify right side
    284,426x = 377,566,007,296
  5. Step 5: Solve for x
    x = 377,566,007,296/284,426
  6. Step 6: Final answer
    x = 1,327,466.57

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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.