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Finding the Third Proportional to 366,971 and 788,195

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Solution

The third proportional to 366,971 and 788,195 is: 1,692,916.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,971 : 788,195 = 788,195 : x
  2. Step 2: Convert to fraction form
    366,971/788,195 = 788,195/x
  3. Step 3: Cross multiply
    366,971x = 788,195 × 788,195
  4. Step 4: Simplify right side
    366,971x = 621,251,358,025
  5. Step 5: Solve for x
    x = 621,251,358,025/366,971
  6. Step 6: Final answer
    x = 1,692,916.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.