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Finding the Third Proportional to 276,065 and 591,497

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Solution

The third proportional to 276,065 and 591,497 is: 1,267,341.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,065 : 591,497 = 591,497 : x
  2. Step 2: Convert to fraction form
    276,065/591,497 = 591,497/x
  3. Step 3: Cross multiply
    276,065x = 591,497 × 591,497
  4. Step 4: Simplify right side
    276,065x = 349,868,701,009
  5. Step 5: Solve for x
    x = 349,868,701,009/276,065
  6. Step 6: Final answer
    x = 1,267,341.75

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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.