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Finding the Third Proportional to 424,737 and 642,546

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Solution

The third proportional to 424,737 and 642,546 is: 972,049.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,737 : 642,546 = 642,546 : x
  2. Step 2: Convert to fraction form
    424,737/642,546 = 642,546/x
  3. Step 3: Cross multiply
    424,737x = 642,546 × 642,546
  4. Step 4: Simplify right side
    424,737x = 412,865,362,116
  5. Step 5: Solve for x
    x = 412,865,362,116/424,737
  6. Step 6: Final answer
    x = 972,049.44

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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.