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Finding the Third Proportional to 266,478 and 567,480

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Solution

The third proportional to 266,478 and 567,480 is: 1,208,480.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,478 : 567,480 = 567,480 : x
  2. Step 2: Convert to fraction form
    266,478/567,480 = 567,480/x
  3. Step 3: Cross multiply
    266,478x = 567,480 × 567,480
  4. Step 4: Simplify right side
    266,478x = 322,033,550,400
  5. Step 5: Solve for x
    x = 322,033,550,400/266,478
  6. Step 6: Final answer
    x = 1,208,480.81

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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.