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Finding the Third Proportional to 276,111 and 595,719

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Solution

The third proportional to 276,111 and 595,719 is: 1,285,284.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,111 : 595,719 = 595,719 : x
  2. Step 2: Convert to fraction form
    276,111/595,719 = 595,719/x
  3. Step 3: Cross multiply
    276,111x = 595,719 × 595,719
  4. Step 4: Simplify right side
    276,111x = 354,881,126,961
  5. Step 5: Solve for x
    x = 354,881,126,961/276,111
  6. Step 6: Final answer
    x = 1,285,284.28

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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.