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Finding the Third Proportional to 366,337 and 781,061

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Solution

The third proportional to 366,337 and 781,061 is: 1,665,287.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,337 : 781,061 = 781,061 : x
  2. Step 2: Convert to fraction form
    366,337/781,061 = 781,061/x
  3. Step 3: Cross multiply
    366,337x = 781,061 × 781,061
  4. Step 4: Simplify right side
    366,337x = 610,056,285,721
  5. Step 5: Solve for x
    x = 610,056,285,721/366,337
  6. Step 6: Final answer
    x = 1,665,287.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.