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Finding the Third Proportional to 284,832 and 606,480

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Solution

The third proportional to 284,832 and 606,480 is: 1,291,350.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,832 : 606,480 = 606,480 : x
  2. Step 2: Convert to fraction form
    284,832/606,480 = 606,480/x
  3. Step 3: Cross multiply
    284,832x = 606,480 × 606,480
  4. Step 4: Simplify right side
    284,832x = 367,817,990,400
  5. Step 5: Solve for x
    x = 367,817,990,400/284,832
  6. Step 6: Final answer
    x = 1,291,350.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.