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Finding the Third Proportional to 276,878 and 433,761

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Solution

The third proportional to 276,878 and 433,761 is: 679,536.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,878 : 433,761 = 433,761 : x
  2. Step 2: Convert to fraction form
    276,878/433,761 = 433,761/x
  3. Step 3: Cross multiply
    276,878x = 433,761 × 433,761
  4. Step 4: Simplify right side
    276,878x = 188,148,605,121
  5. Step 5: Solve for x
    x = 188,148,605,121/276,878
  6. Step 6: Final answer
    x = 679,536.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.