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Finding the Third Proportional to 362,264.81 and 786,808.13

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Solution

The third proportional to 362,264.81 and 786,808.13 is: 1,708,879.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,264.81 : 786,808.13 = 786,808.13 : x
  2. Step 2: Convert to fraction form
    362,264.81/786,808.13 = 786,808.13/x
  3. Step 3: Cross multiply
    362,264.81x = 786,808.13 × 786,808.13
  4. Step 4: Simplify right side
    362,264.81x = 619,067,025,566.02
  5. Step 5: Solve for x
    x = 619,067,025,566.02/362,264.81
  6. Step 6: Final answer
    x = 1,708,879.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.