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Finding the Third Proportional to 483,708.38 and 676,535.63

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Solution

The third proportional to 483,708.38 and 676,535.63 is: 946,232.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,708.38 : 676,535.63 = 676,535.63 : x
  2. Step 2: Convert to fraction form
    483,708.38/676,535.63 = 676,535.63/x
  3. Step 3: Cross multiply
    483,708.38x = 676,535.63 × 676,535.63
  4. Step 4: Simplify right side
    483,708.38x = 457,700,451,894.14
  5. Step 5: Solve for x
    x = 457,700,451,894.14/483,708.38
  6. Step 6: Final answer
    x = 946,232.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.