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Finding the Third Proportional to 288,756 and 446,262

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Solution

The third proportional to 288,756 and 446,262 is: 689,681.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,756 : 446,262 = 446,262 : x
  2. Step 2: Convert to fraction form
    288,756/446,262 = 446,262/x
  3. Step 3: Cross multiply
    288,756x = 446,262 × 446,262
  4. Step 4: Simplify right side
    288,756x = 199,149,772,644
  5. Step 5: Solve for x
    x = 199,149,772,644/288,756
  6. Step 6: Final answer
    x = 689,681.85

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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.