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Finding the Third Proportional to 268,660.97 and 583,932.38

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Solution

The third proportional to 268,660.97 and 583,932.38 is: 1,269,172.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,660.97 : 583,932.38 = 583,932.38 : x
  2. Step 2: Convert to fraction form
    268,660.97/583,932.38 = 583,932.38/x
  3. Step 3: Cross multiply
    268,660.97x = 583,932.38 × 583,932.38
  4. Step 4: Simplify right side
    268,660.97x = 340,977,018,573.14
  5. Step 5: Solve for x
    x = 340,977,018,573.14/268,660.97
  6. Step 6: Final answer
    x = 1,269,172.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.