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Finding the Third Proportional to 414,972 and 845,158.50

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Solution

The third proportional to 414,972 and 845,158.50 is: 1,721,303.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,972 : 845,158.50 = 845,158.50 : x
  2. Step 2: Convert to fraction form
    414,972/845,158.50 = 845,158.50/x
  3. Step 3: Cross multiply
    414,972x = 845,158.50 × 845,158.50
  4. Step 4: Simplify right side
    414,972x = 714,292,890,122.25
  5. Step 5: Solve for x
    x = 714,292,890,122.25/414,972
  6. Step 6: Final answer
    x = 1,721,303.82

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