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Finding the Third Proportional to 276,084 and 591,507

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Solution

The third proportional to 276,084 and 591,507 is: 1,267,297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,084 : 591,507 = 591,507 : x
  2. Step 2: Convert to fraction form
    276,084/591,507 = 591,507/x
  3. Step 3: Cross multiply
    276,084x = 591,507 × 591,507
  4. Step 4: Simplify right side
    276,084x = 349,880,531,049
  5. Step 5: Solve for x
    x = 349,880,531,049/276,084
  6. Step 6: Final answer
    x = 1,267,297.38

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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.