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Finding the Third Proportional to 370,074 and 769,236

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Solution

The third proportional to 370,074 and 769,236 is: 1,598,934.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,074 : 769,236 = 769,236 : x
  2. Step 2: Convert to fraction form
    370,074/769,236 = 769,236/x
  3. Step 3: Cross multiply
    370,074x = 769,236 × 769,236
  4. Step 4: Simplify right side
    370,074x = 591,724,023,696
  5. Step 5: Solve for x
    x = 591,724,023,696/370,074
  6. Step 6: Final answer
    x = 1,598,934.33

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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.