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Finding the Third Proportional to 288,812 and 446,340

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Solution

The third proportional to 288,812 and 446,340 is: 689,789.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,812 : 446,340 = 446,340 : x
  2. Step 2: Convert to fraction form
    288,812/446,340 = 446,340/x
  3. Step 3: Cross multiply
    288,812x = 446,340 × 446,340
  4. Step 4: Simplify right side
    288,812x = 199,219,395,600
  5. Step 5: Solve for x
    x = 199,219,395,600/288,812
  6. Step 6: Final answer
    x = 689,789.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.