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Finding the Third Proportional to 449,158 and 675,559

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Solution

The third proportional to 449,158 and 675,559 is: 1,016,078.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,158 : 675,559 = 675,559 : x
  2. Step 2: Convert to fraction form
    449,158/675,559 = 675,559/x
  3. Step 3: Cross multiply
    449,158x = 675,559 × 675,559
  4. Step 4: Simplify right side
    449,158x = 456,379,962,481
  5. Step 5: Solve for x
    x = 456,379,962,481/449,158
  6. Step 6: Final answer
    x = 1,016,078.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.