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Finding the Third Proportional to 284,626 and 611,464

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Solution

The third proportional to 284,626 and 611,464 is: 1,313,612.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,626 : 611,464 = 611,464 : x
  2. Step 2: Convert to fraction form
    284,626/611,464 = 611,464/x
  3. Step 3: Cross multiply
    284,626x = 611,464 × 611,464
  4. Step 4: Simplify right side
    284,626x = 373,888,223,296
  5. Step 5: Solve for x
    x = 373,888,223,296/284,626
  6. Step 6: Final answer
    x = 1,313,612.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.