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Finding the Third Proportional to 395,416.69 and 818,870.06

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Solution

The third proportional to 395,416.69 and 818,870.06 is: 1,695,801.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,416.69 : 818,870.06 = 818,870.06 : x
  2. Step 2: Convert to fraction form
    395,416.69/818,870.06 = 818,870.06/x
  3. Step 3: Cross multiply
    395,416.69x = 818,870.06 × 818,870.06
  4. Step 4: Simplify right side
    395,416.69x = 670,548,179,258.75
  5. Step 5: Solve for x
    x = 670,548,179,258.75/395,416.69
  6. Step 6: Final answer
    x = 1,695,801.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.