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Finding the Third Proportional to 276,354 and 595,084

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Solution

The third proportional to 276,354 and 595,084 is: 1,281,417.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,354 : 595,084 = 595,084 : x
  2. Step 2: Convert to fraction form
    276,354/595,084 = 595,084/x
  3. Step 3: Cross multiply
    276,354x = 595,084 × 595,084
  4. Step 4: Simplify right side
    276,354x = 354,124,967,056
  5. Step 5: Solve for x
    x = 354,124,967,056/276,354
  6. Step 6: Final answer
    x = 1,281,417.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.