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Finding the Third Proportional to 394,752 and 931,246

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Solution

The third proportional to 394,752 and 931,246 is: 2,196,870.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,752 : 931,246 = 931,246 : x
  2. Step 2: Convert to fraction form
    394,752/931,246 = 931,246/x
  3. Step 3: Cross multiply
    394,752x = 931,246 × 931,246
  4. Step 4: Simplify right side
    394,752x = 867,219,112,516
  5. Step 5: Solve for x
    x = 867,219,112,516/394,752
  6. Step 6: Final answer
    x = 2,196,870.73

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.