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Finding the Third Proportional to 386,764.88 and 830,665.13

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Solution

The third proportional to 386,764.88 and 830,665.13 is: 1,784,041.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,764.88 : 830,665.13 = 830,665.13 : x
  2. Step 2: Convert to fraction form
    386,764.88/830,665.13 = 830,665.13/x
  3. Step 3: Cross multiply
    386,764.88x = 830,665.13 × 830,665.13
  4. Step 4: Simplify right side
    386,764.88x = 690,004,549,891.27
  5. Step 5: Solve for x
    x = 690,004,549,891.27/386,764.88
  6. Step 6: Final answer
    x = 1,784,041.40

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.