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Finding the Third Proportional to 291,371.25 and 686,844.75

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Solution

The third proportional to 291,371.25 and 686,844.75 is: 1,619,088.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,371.25 : 686,844.75 = 686,844.75 : x
  2. Step 2: Convert to fraction form
    291,371.25/686,844.75 = 686,844.75/x
  3. Step 3: Cross multiply
    291,371.25x = 686,844.75 × 686,844.75
  4. Step 4: Simplify right side
    291,371.25x = 471,755,710,602.56
  5. Step 5: Solve for x
    x = 471,755,710,602.56/291,371.25
  6. Step 6: Final answer
    x = 1,619,088.06

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.