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Finding the Third Proportional to 370,874 and 794,236

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Solution

The third proportional to 370,874 and 794,236 is: 1,700,876.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,874 : 794,236 = 794,236 : x
  2. Step 2: Convert to fraction form
    370,874/794,236 = 794,236/x
  3. Step 3: Cross multiply
    370,874x = 794,236 × 794,236
  4. Step 4: Simplify right side
    370,874x = 630,810,823,696
  5. Step 5: Solve for x
    x = 630,810,823,696/370,874
  6. Step 6: Final answer
    x = 1,700,876.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.