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Finding the Third Proportional to 284,436 and 614,484

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Solution

The third proportional to 284,436 and 614,484 is: 1,327,506.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,436 : 614,484 = 614,484 : x
  2. Step 2: Convert to fraction form
    284,436/614,484 = 614,484/x
  3. Step 3: Cross multiply
    284,436x = 614,484 × 614,484
  4. Step 4: Simplify right side
    284,436x = 377,590,586,256
  5. Step 5: Solve for x
    x = 377,590,586,256/284,436
  6. Step 6: Final answer
    x = 1,327,506.32

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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.