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Finding the Third Proportional to 200,589 and 437,155.50

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Solution

The third proportional to 200,589 and 437,155.50 is: 952,718.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,589 : 437,155.50 = 437,155.50 : x
  2. Step 2: Convert to fraction form
    200,589/437,155.50 = 437,155.50/x
  3. Step 3: Cross multiply
    200,589x = 437,155.50 × 437,155.50
  4. Step 4: Simplify right side
    200,589x = 191,104,931,180.25
  5. Step 5: Solve for x
    x = 191,104,931,180.25/200,589
  6. Step 6: Final answer
    x = 952,718.90

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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.