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Finding the Third Proportional to 367,200 and 801,792

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Solution

The third proportional to 367,200 and 801,792 is: 1,750,736.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,200 : 801,792 = 801,792 : x
  2. Step 2: Convert to fraction form
    367,200/801,792 = 801,792/x
  3. Step 3: Cross multiply
    367,200x = 801,792 × 801,792
  4. Step 4: Simplify right side
    367,200x = 642,870,411,264
  5. Step 5: Solve for x
    x = 642,870,411,264/367,200
  6. Step 6: Final answer
    x = 1,750,736.41

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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.