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Finding the Third Proportional to 276,377 and 585,969

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Solution

The third proportional to 276,377 and 585,969 is: 1,242,359.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,377 : 585,969 = 585,969 : x
  2. Step 2: Convert to fraction form
    276,377/585,969 = 585,969/x
  3. Step 3: Cross multiply
    276,377x = 585,969 × 585,969
  4. Step 4: Simplify right side
    276,377x = 343,359,668,961
  5. Step 5: Solve for x
    x = 343,359,668,961/276,377
  6. Step 6: Final answer
    x = 1,242,359.78

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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.