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Finding the Third Proportional to 270,253 and 588,076

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Solution

The third proportional to 270,253 and 588,076 is: 1,279,665.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,253 : 588,076 = 588,076 : x
  2. Step 2: Convert to fraction form
    270,253/588,076 = 588,076/x
  3. Step 3: Cross multiply
    270,253x = 588,076 × 588,076
  4. Step 4: Simplify right side
    270,253x = 345,833,381,776
  5. Step 5: Solve for x
    x = 345,833,381,776/270,253
  6. Step 6: Final answer
    x = 1,279,665.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.