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Finding the Third Proportional to 191,569 and 410,638

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Solution

The third proportional to 191,569 and 410,638 is: 880,223.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,569 : 410,638 = 410,638 : x
  2. Step 2: Convert to fraction form
    191,569/410,638 = 410,638/x
  3. Step 3: Cross multiply
    191,569x = 410,638 × 410,638
  4. Step 4: Simplify right side
    191,569x = 168,623,567,044
  5. Step 5: Solve for x
    x = 168,623,567,044/191,569
  6. Step 6: Final answer
    x = 880,223.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.