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Finding the Third Proportional to 267,704 and 497,104

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Solution

The third proportional to 267,704 and 497,104 is: 923,080.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,704 : 497,104 = 497,104 : x
  2. Step 2: Convert to fraction form
    267,704/497,104 = 497,104/x
  3. Step 3: Cross multiply
    267,704x = 497,104 × 497,104
  4. Step 4: Simplify right side
    267,704x = 247,112,386,816
  5. Step 5: Solve for x
    x = 247,112,386,816/267,704
  6. Step 6: Final answer
    x = 923,080.67

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.