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Finding the Third Proportional to 276,560 and 591,032

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Solution

The third proportional to 276,560 and 591,032 is: 1,263,085.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,560 : 591,032 = 591,032 : x
  2. Step 2: Convert to fraction form
    276,560/591,032 = 591,032/x
  3. Step 3: Cross multiply
    276,560x = 591,032 × 591,032
  4. Step 4: Simplify right side
    276,560x = 349,318,825,024
  5. Step 5: Solve for x
    x = 349,318,825,024/276,560
  6. Step 6: Final answer
    x = 1,263,085.14

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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.