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Finding the Third Proportional to 424,472 and 642,175

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Solution

The third proportional to 424,472 and 642,175 is: 971,533.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,472 : 642,175 = 642,175 : x
  2. Step 2: Convert to fraction form
    424,472/642,175 = 642,175/x
  3. Step 3: Cross multiply
    424,472x = 642,175 × 642,175
  4. Step 4: Simplify right side
    424,472x = 412,388,730,625
  5. Step 5: Solve for x
    x = 412,388,730,625/424,472
  6. Step 6: Final answer
    x = 971,533.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.