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Finding the Third Proportional to 316,791 and 659,793

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Solution

The third proportional to 316,791 and 659,793 is: 1,374,176.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,791 : 659,793 = 659,793 : x
  2. Step 2: Convert to fraction form
    316,791/659,793 = 659,793/x
  3. Step 3: Cross multiply
    316,791x = 659,793 × 659,793
  4. Step 4: Simplify right side
    316,791x = 435,326,802,849
  5. Step 5: Solve for x
    x = 435,326,802,849/316,791
  6. Step 6: Final answer
    x = 1,374,176.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.