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Finding the Third Proportional to 401,061 and 856,243.50

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Solution

The third proportional to 401,061 and 856,243.50 is: 1,828,033.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,061 : 856,243.50 = 856,243.50 : x
  2. Step 2: Convert to fraction form
    401,061/856,243.50 = 856,243.50/x
  3. Step 3: Cross multiply
    401,061x = 856,243.50 × 856,243.50
  4. Step 4: Simplify right side
    401,061x = 733,152,931,292.25
  5. Step 5: Solve for x
    x = 733,152,931,292.25/401,061
  6. Step 6: Final answer
    x = 1,828,033.47

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.