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Finding the Third Proportional to 685,624.50 and 1,062,654.19

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Solution

The third proportional to 685,624.50 and 1,062,654.19 is: 1,647,015.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,624.50 : 1,062,654.19 = 1,062,654.19 : x
  2. Step 2: Convert to fraction form
    685,624.50/1,062,654.19 = 1,062,654.19/x
  3. Step 3: Cross multiply
    685,624.50x = 1,062,654.19 × 1,062,654.19
  4. Step 4: Simplify right side
    685,624.50x = 1,129,233,922,211.29
  5. Step 5: Solve for x
    x = 1,129,233,922,211.29/685,624.50
  6. Step 6: Final answer
    x = 1,647,015.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.