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Finding the Third Proportional to 284,084 and 621,624

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Solution

The third proportional to 284,084 and 621,624 is: 1,360,218.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,084 : 621,624 = 621,624 : x
  2. Step 2: Convert to fraction form
    284,084/621,624 = 621,624/x
  3. Step 3: Cross multiply
    284,084x = 621,624 × 621,624
  4. Step 4: Simplify right side
    284,084x = 386,416,397,376
  5. Step 5: Solve for x
    x = 386,416,397,376/284,084
  6. Step 6: Final answer
    x = 1,360,218.80

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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.