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Finding the Third Proportional to 284,872 and 614,024

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Solution

The third proportional to 284,872 and 614,024 is: 1,323,490.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,872 : 614,024 = 614,024 : x
  2. Step 2: Convert to fraction form
    284,872/614,024 = 614,024/x
  3. Step 3: Cross multiply
    284,872x = 614,024 × 614,024
  4. Step 4: Simplify right side
    284,872x = 377,025,472,576
  5. Step 5: Solve for x
    x = 377,025,472,576/284,872
  6. Step 6: Final answer
    x = 1,323,490.80

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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.