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Finding the Third Proportional to 276,320 and 596,200

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Solution

The third proportional to 276,320 and 596,200 is: 1,286,386.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,320 : 596,200 = 596,200 : x
  2. Step 2: Convert to fraction form
    276,320/596,200 = 596,200/x
  3. Step 3: Cross multiply
    276,320x = 596,200 × 596,200
  4. Step 4: Simplify right side
    276,320x = 355,454,440,000
  5. Step 5: Solve for x
    x = 355,454,440,000/276,320
  6. Step 6: Final answer
    x = 1,286,386.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.