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Finding the Third Proportional to 272,424 and 577,612

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Solution

The third proportional to 272,424 and 577,612 is: 1,224,692.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,424 : 577,612 = 577,612 : x
  2. Step 2: Convert to fraction form
    272,424/577,612 = 577,612/x
  3. Step 3: Cross multiply
    272,424x = 577,612 × 577,612
  4. Step 4: Simplify right side
    272,424x = 333,635,622,544
  5. Step 5: Solve for x
    x = 333,635,622,544/272,424
  6. Step 6: Final answer
    x = 1,224,692.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.