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Finding the Third Proportional to 276,372 and 585,959.06

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Solution

The third proportional to 276,372 and 585,959.06 is: 1,242,340.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,372 : 585,959.06 = 585,959.06 : x
  2. Step 2: Convert to fraction form
    276,372/585,959.06 = 585,959.06/x
  3. Step 3: Cross multiply
    276,372x = 585,959.06 × 585,959.06
  4. Step 4: Simplify right side
    276,372x = 343,348,022,925.88
  5. Step 5: Solve for x
    x = 343,348,022,925.88/276,372
  6. Step 6: Final answer
    x = 1,242,340.12

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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.