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Finding the Third Proportional to 194,737 and 424,546

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Solution

The third proportional to 194,737 and 424,546 is: 925,552.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,737 : 424,546 = 424,546 : x
  2. Step 2: Convert to fraction form
    194,737/424,546 = 424,546/x
  3. Step 3: Cross multiply
    194,737x = 424,546 × 424,546
  4. Step 4: Simplify right side
    194,737x = 180,239,306,116
  5. Step 5: Solve for x
    x = 180,239,306,116/194,737
  6. Step 6: Final answer
    x = 925,552.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.