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Finding the Third Proportional to 219,496 and 327,944

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Solution

The third proportional to 219,496 and 327,944 is: 489,973.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,496 : 327,944 = 327,944 : x
  2. Step 2: Convert to fraction form
    219,496/327,944 = 327,944/x
  3. Step 3: Cross multiply
    219,496x = 327,944 × 327,944
  4. Step 4: Simplify right side
    219,496x = 107,547,267,136
  5. Step 5: Solve for x
    x = 107,547,267,136/219,496
  6. Step 6: Final answer
    x = 489,973.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.