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Finding the Third Proportional to 437,683.50 and 952,053.75

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Solution

The third proportional to 437,683.50 and 952,053.75 is: 2,070,917.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,683.50 : 952,053.75 = 952,053.75 : x
  2. Step 2: Convert to fraction form
    437,683.50/952,053.75 = 952,053.75/x
  3. Step 3: Cross multiply
    437,683.50x = 952,053.75 × 952,053.75
  4. Step 4: Simplify right side
    437,683.50x = 906,406,342,889.06
  5. Step 5: Solve for x
    x = 906,406,342,889.06/437,683.50
  6. Step 6: Final answer
    x = 2,070,917.32

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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.