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Finding the Third Proportional to 231,189 and 499,602

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Solution

The third proportional to 231,189 and 499,602 is: 1,079,645.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,189 : 499,602 = 499,602 : x
  2. Step 2: Convert to fraction form
    231,189/499,602 = 499,602/x
  3. Step 3: Cross multiply
    231,189x = 499,602 × 499,602
  4. Step 4: Simplify right side
    231,189x = 249,602,158,404
  5. Step 5: Solve for x
    x = 249,602,158,404/231,189
  6. Step 6: Final answer
    x = 1,079,645.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.