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Finding the Third Proportional to 414,901.50 and 845,022

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Solution

The third proportional to 414,901.50 and 845,022 is: 1,721,040.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,901.50 : 845,022 = 845,022 : x
  2. Step 2: Convert to fraction form
    414,901.50/845,022 = 845,022/x
  3. Step 3: Cross multiply
    414,901.50x = 845,022 × 845,022
  4. Step 4: Simplify right side
    414,901.50x = 714,062,180,484
  5. Step 5: Solve for x
    x = 714,062,180,484/414,901.50
  6. Step 6: Final answer
    x = 1,721,040.25

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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.