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Finding the Third Proportional to 394,748 and 931,236

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Solution

The third proportional to 394,748 and 931,236 is: 2,196,845.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,748 : 931,236 = 931,236 : x
  2. Step 2: Convert to fraction form
    394,748/931,236 = 931,236/x
  3. Step 3: Cross multiply
    394,748x = 931,236 × 931,236
  4. Step 4: Simplify right side
    394,748x = 867,200,487,696
  5. Step 5: Solve for x
    x = 867,200,487,696/394,748
  6. Step 6: Final answer
    x = 2,196,845.80

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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.