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Finding the Third Proportional to 200,071.50 and 472,288.50

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Solution

The third proportional to 200,071.50 and 472,288.50 is: 1,114,883.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,071.50 : 472,288.50 = 472,288.50 : x
  2. Step 2: Convert to fraction form
    200,071.50/472,288.50 = 472,288.50/x
  3. Step 3: Cross multiply
    200,071.50x = 472,288.50 × 472,288.50
  4. Step 4: Simplify right side
    200,071.50x = 223,056,427,232.25
  5. Step 5: Solve for x
    x = 223,056,427,232.25/200,071.50
  6. Step 6: Final answer
    x = 1,114,883.57

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.