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Finding the Third Proportional to 266,464 and 572,456

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Solution

The third proportional to 266,464 and 572,456 is: 1,229,831.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,464 : 572,456 = 572,456 : x
  2. Step 2: Convert to fraction form
    266,464/572,456 = 572,456/x
  3. Step 3: Cross multiply
    266,464x = 572,456 × 572,456
  4. Step 4: Simplify right side
    266,464x = 327,705,871,936
  5. Step 5: Solve for x
    x = 327,705,871,936/266,464
  6. Step 6: Final answer
    x = 1,229,831.69

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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.