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Finding the Third Proportional to 424,543 and 627,094

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Solution

The third proportional to 424,543 and 627,094 is: 926,282.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,543 : 627,094 = 627,094 : x
  2. Step 2: Convert to fraction form
    424,543/627,094 = 627,094/x
  3. Step 3: Cross multiply
    424,543x = 627,094 × 627,094
  4. Step 4: Simplify right side
    424,543x = 393,246,884,836
  5. Step 5: Solve for x
    x = 393,246,884,836/424,543
  6. Step 6: Final answer
    x = 926,282.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.