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Finding the Third Proportional to 365,880 and 801,720

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Solution

The third proportional to 365,880 and 801,720 is: 1,756,737.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,880 : 801,720 = 801,720 : x
  2. Step 2: Convert to fraction form
    365,880/801,720 = 801,720/x
  3. Step 3: Cross multiply
    365,880x = 801,720 × 801,720
  4. Step 4: Simplify right side
    365,880x = 642,754,958,400
  5. Step 5: Solve for x
    x = 642,754,958,400/365,880
  6. Step 6: Final answer
    x = 1,756,737.07

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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.