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Finding the Third Proportional to 365,636 and 801,224

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Solution

The third proportional to 365,636 and 801,224 is: 1,755,734.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,636 : 801,224 = 801,224 : x
  2. Step 2: Convert to fraction form
    365,636/801,224 = 801,224/x
  3. Step 3: Cross multiply
    365,636x = 801,224 × 801,224
  4. Step 4: Simplify right side
    365,636x = 641,959,898,176
  5. Step 5: Solve for x
    x = 641,959,898,176/365,636
  6. Step 6: Final answer
    x = 1,755,734.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.