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Finding the Third Proportional to 427,898 and 662,583

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Solution

The third proportional to 427,898 and 662,583 is: 1,025,983.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,898 : 662,583 = 662,583 : x
  2. Step 2: Convert to fraction form
    427,898/662,583 = 662,583/x
  3. Step 3: Cross multiply
    427,898x = 662,583 × 662,583
  4. Step 4: Simplify right side
    427,898x = 439,016,231,889
  5. Step 5: Solve for x
    x = 439,016,231,889/427,898
  6. Step 6: Final answer
    x = 1,025,983.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.