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Finding the Third Proportional to 322,120.50 and 686,898

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Solution

The third proportional to 322,120.50 and 686,898 is: 1,464,758.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,120.50 : 686,898 = 686,898 : x
  2. Step 2: Convert to fraction form
    322,120.50/686,898 = 686,898/x
  3. Step 3: Cross multiply
    322,120.50x = 686,898 × 686,898
  4. Step 4: Simplify right side
    322,120.50x = 471,828,862,404
  5. Step 5: Solve for x
    x = 471,828,862,404/322,120.50
  6. Step 6: Final answer
    x = 1,464,758.88

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.