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Finding the Third Proportional to 276,028 and 591,402

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Solution

The third proportional to 276,028 and 591,402 is: 1,267,104.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,028 : 591,402 = 591,402 : x
  2. Step 2: Convert to fraction form
    276,028/591,402 = 591,402/x
  3. Step 3: Cross multiply
    276,028x = 591,402 × 591,402
  4. Step 4: Simplify right side
    276,028x = 349,756,325,604
  5. Step 5: Solve for x
    x = 349,756,325,604/276,028
  6. Step 6: Final answer
    x = 1,267,104.52

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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.