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Finding the Third Proportional to 266,354 and 576,448

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Solution

The third proportional to 266,354 and 576,448 is: 1,247,558.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,354 : 576,448 = 576,448 : x
  2. Step 2: Convert to fraction form
    266,354/576,448 = 576,448/x
  3. Step 3: Cross multiply
    266,354x = 576,448 × 576,448
  4. Step 4: Simplify right side
    266,354x = 332,292,296,704
  5. Step 5: Solve for x
    x = 332,292,296,704/266,354
  6. Step 6: Final answer
    x = 1,247,558.88

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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.