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Finding the Third Proportional to 191,511 and 416,586

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Solution

The third proportional to 191,511 and 416,586 is: 906,182.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,511 : 416,586 = 416,586 : x
  2. Step 2: Convert to fraction form
    191,511/416,586 = 416,586/x
  3. Step 3: Cross multiply
    191,511x = 416,586 × 416,586
  4. Step 4: Simplify right side
    191,511x = 173,543,895,396
  5. Step 5: Solve for x
    x = 173,543,895,396/191,511
  6. Step 6: Final answer
    x = 906,182.39

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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.