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Finding the Third Proportional to 400,083 and 872,062.50

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Solution

The third proportional to 400,083 and 872,062.50 is: 1,900,838.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,083 : 872,062.50 = 872,062.50 : x
  2. Step 2: Convert to fraction form
    400,083/872,062.50 = 872,062.50/x
  3. Step 3: Cross multiply
    400,083x = 872,062.50 × 872,062.50
  4. Step 4: Simplify right side
    400,083x = 760,493,003,906.25
  5. Step 5: Solve for x
    x = 760,493,003,906.25/400,083
  6. Step 6: Final answer
    x = 1,900,838.09

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.