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Finding the Third Proportional to 284,865 and 624,078

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Solution

The third proportional to 284,865 and 624,078 is: 1,367,220.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,865 : 624,078 = 624,078 : x
  2. Step 2: Convert to fraction form
    284,865/624,078 = 624,078/x
  3. Step 3: Cross multiply
    284,865x = 624,078 × 624,078
  4. Step 4: Simplify right side
    284,865x = 389,473,350,084
  5. Step 5: Solve for x
    x = 389,473,350,084/284,865
  6. Step 6: Final answer
    x = 1,367,220.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.