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Finding the Third Proportional to 288,180 and 463,023

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Solution

The third proportional to 288,180 and 463,023 is: 743,945.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,180 : 463,023 = 463,023 : x
  2. Step 2: Convert to fraction form
    288,180/463,023 = 463,023/x
  3. Step 3: Cross multiply
    288,180x = 463,023 × 463,023
  4. Step 4: Simplify right side
    288,180x = 214,390,298,529
  5. Step 5: Solve for x
    x = 214,390,298,529/288,180
  6. Step 6: Final answer
    x = 743,945.79

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.