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Finding the Third Proportional to 266,466 and 576,420

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Solution

The third proportional to 266,466 and 576,420 is: 1,246,913.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,466 : 576,420 = 576,420 : x
  2. Step 2: Convert to fraction form
    266,466/576,420 = 576,420/x
  3. Step 3: Cross multiply
    266,466x = 576,420 × 576,420
  4. Step 4: Simplify right side
    266,466x = 332,260,016,400
  5. Step 5: Solve for x
    x = 332,260,016,400/266,466
  6. Step 6: Final answer
    x = 1,246,913.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.