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Finding the Third Proportional to 266,443 and 572,415

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Solution

The third proportional to 266,443 and 572,415 is: 1,229,752.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,443 : 572,415 = 572,415 : x
  2. Step 2: Convert to fraction form
    266,443/572,415 = 572,415/x
  3. Step 3: Cross multiply
    266,443x = 572,415 × 572,415
  4. Step 4: Simplify right side
    266,443x = 327,658,932,225
  5. Step 5: Solve for x
    x = 327,658,932,225/266,443
  6. Step 6: Final answer
    x = 1,229,752.45

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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.