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Finding the Third Proportional to 207,378 and 485,613

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Solution

The third proportional to 207,378 and 485,613 is: 1,137,150.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,378 : 485,613 = 485,613 : x
  2. Step 2: Convert to fraction form
    207,378/485,613 = 485,613/x
  3. Step 3: Cross multiply
    207,378x = 485,613 × 485,613
  4. Step 4: Simplify right side
    207,378x = 235,819,985,769
  5. Step 5: Solve for x
    x = 235,819,985,769/207,378
  6. Step 6: Final answer
    x = 1,137,150.45

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.