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Finding the Third Proportional to 414,895.50 and 845,010

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Solution

The third proportional to 414,895.50 and 845,010 is: 1,721,016.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,895.50 : 845,010 = 845,010 : x
  2. Step 2: Convert to fraction form
    414,895.50/845,010 = 845,010/x
  3. Step 3: Cross multiply
    414,895.50x = 845,010 × 845,010
  4. Step 4: Simplify right side
    414,895.50x = 714,041,900,100
  5. Step 5: Solve for x
    x = 714,041,900,100/414,895.50
  6. Step 6: Final answer
    x = 1,721,016.26

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.