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Finding the Third Proportional to 275,860 and 591,092

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Solution

The third proportional to 275,860 and 591,092 is: 1,266,547.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,860 : 591,092 = 591,092 : x
  2. Step 2: Convert to fraction form
    275,860/591,092 = 591,092/x
  3. Step 3: Cross multiply
    275,860x = 591,092 × 591,092
  4. Step 4: Simplify right side
    275,860x = 349,389,752,464
  5. Step 5: Solve for x
    x = 349,389,752,464/275,860
  6. Step 6: Final answer
    x = 1,266,547.35

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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.