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Finding the Third Proportional to 275,870 and 591,097

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Solution

The third proportional to 275,870 and 591,097 is: 1,266,522.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,870 : 591,097 = 591,097 : x
  2. Step 2: Convert to fraction form
    275,870/591,097 = 591,097/x
  3. Step 3: Cross multiply
    275,870x = 591,097 × 591,097
  4. Step 4: Simplify right side
    275,870x = 349,395,663,409
  5. Step 5: Solve for x
    x = 349,395,663,409/275,870
  6. Step 6: Final answer
    x = 1,266,522.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.