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Finding the Third Proportional to 386,866 and 840,145.50

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Solution

The third proportional to 386,866 and 840,145.50 is: 1,824,519.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,866 : 840,145.50 = 840,145.50 : x
  2. Step 2: Convert to fraction form
    386,866/840,145.50 = 840,145.50/x
  3. Step 3: Cross multiply
    386,866x = 840,145.50 × 840,145.50
  4. Step 4: Simplify right side
    386,866x = 705,844,461,170.25
  5. Step 5: Solve for x
    x = 705,844,461,170.25/386,866
  6. Step 6: Final answer
    x = 1,824,519.24

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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.