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Finding the Third Proportional to 276,069 and 583,968

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Solution

The third proportional to 276,069 and 583,968 is: 1,235,265.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,069 : 583,968 = 583,968 : x
  2. Step 2: Convert to fraction form
    276,069/583,968 = 583,968/x
  3. Step 3: Cross multiply
    276,069x = 583,968 × 583,968
  4. Step 4: Simplify right side
    276,069x = 341,018,625,024
  5. Step 5: Solve for x
    x = 341,018,625,024/276,069
  6. Step 6: Final answer
    x = 1,235,265.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.