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Finding the Third Proportional to 393,724 and 843,214

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Solution

The third proportional to 393,724 and 843,214 is: 1,805,858.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,724 : 843,214 = 843,214 : x
  2. Step 2: Convert to fraction form
    393,724/843,214 = 843,214/x
  3. Step 3: Cross multiply
    393,724x = 843,214 × 843,214
  4. Step 4: Simplify right side
    393,724x = 711,009,849,796
  5. Step 5: Solve for x
    x = 711,009,849,796/393,724
  6. Step 6: Final answer
    x = 1,805,858.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.