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Finding the Third Proportional to 366,944 and 808,380

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Solution

The third proportional to 366,944 and 808,380 is: 1,780,866.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,944 : 808,380 = 808,380 : x
  2. Step 2: Convert to fraction form
    366,944/808,380 = 808,380/x
  3. Step 3: Cross multiply
    366,944x = 808,380 × 808,380
  4. Step 4: Simplify right side
    366,944x = 653,478,224,400
  5. Step 5: Solve for x
    x = 653,478,224,400/366,944
  6. Step 6: Final answer
    x = 1,780,866.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.