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Finding the Third Proportional to 396,152 and 867,160

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Solution

The third proportional to 396,152 and 867,160 is: 1,898,176.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,152 : 867,160 = 867,160 : x
  2. Step 2: Convert to fraction form
    396,152/867,160 = 867,160/x
  3. Step 3: Cross multiply
    396,152x = 867,160 × 867,160
  4. Step 4: Simplify right side
    396,152x = 751,966,465,600
  5. Step 5: Solve for x
    x = 751,966,465,600/396,152
  6. Step 6: Final answer
    x = 1,898,176.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.