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Finding the Third Proportional to 276,376 and 585,967

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Solution

The third proportional to 276,376 and 585,967 is: 1,242,355.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,376 : 585,967 = 585,967 : x
  2. Step 2: Convert to fraction form
    276,376/585,967 = 585,967/x
  3. Step 3: Cross multiply
    276,376x = 585,967 × 585,967
  4. Step 4: Simplify right side
    276,376x = 343,357,325,089
  5. Step 5: Solve for x
    x = 343,357,325,089/276,376
  6. Step 6: Final answer
    x = 1,242,355.79

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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.