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Finding the Third Proportional to 270,997 and 402,565

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Solution

The third proportional to 270,997 and 402,565 is: 598,008.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,997 : 402,565 = 402,565 : x
  2. Step 2: Convert to fraction form
    270,997/402,565 = 402,565/x
  3. Step 3: Cross multiply
    270,997x = 402,565 × 402,565
  4. Step 4: Simplify right side
    270,997x = 162,058,579,225
  5. Step 5: Solve for x
    x = 162,058,579,225/270,997
  6. Step 6: Final answer
    x = 598,008.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.