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Finding the Third Proportional to 195,679 and 424,819

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Solution

The third proportional to 195,679 and 424,819 is: 922,281.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,679 : 424,819 = 424,819 : x
  2. Step 2: Convert to fraction form
    195,679/424,819 = 424,819/x
  3. Step 3: Cross multiply
    195,679x = 424,819 × 424,819
  4. Step 4: Simplify right side
    195,679x = 180,471,182,761
  5. Step 5: Solve for x
    x = 180,471,182,761/195,679
  6. Step 6: Final answer
    x = 922,281.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.