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Finding the Third Proportional to 369,214 and 806,764

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Solution

The third proportional to 369,214 and 806,764 is: 1,762,847.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,214 : 806,764 = 806,764 : x
  2. Step 2: Convert to fraction form
    369,214/806,764 = 806,764/x
  3. Step 3: Cross multiply
    369,214x = 806,764 × 806,764
  4. Step 4: Simplify right side
    369,214x = 650,868,151,696
  5. Step 5: Solve for x
    x = 650,868,151,696/369,214
  6. Step 6: Final answer
    x = 1,762,847.97

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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.