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Finding the Third Proportional to 367,078 and 812,768

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Solution

The third proportional to 367,078 and 812,768 is: 1,799,595.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,078 : 812,768 = 812,768 : x
  2. Step 2: Convert to fraction form
    367,078/812,768 = 812,768/x
  3. Step 3: Cross multiply
    367,078x = 812,768 × 812,768
  4. Step 4: Simplify right side
    367,078x = 660,591,821,824
  5. Step 5: Solve for x
    x = 660,591,821,824/367,078
  6. Step 6: Final answer
    x = 1,799,595.24

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.