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Finding the Third Proportional to 201,963.25 and 437,585

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Solution

The third proportional to 201,963.25 and 437,585 is: 948,096.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,963.25 : 437,585 = 437,585 : x
  2. Step 2: Convert to fraction form
    201,963.25/437,585 = 437,585/x
  3. Step 3: Cross multiply
    201,963.25x = 437,585 × 437,585
  4. Step 4: Simplify right side
    201,963.25x = 191,480,632,225
  5. Step 5: Solve for x
    x = 191,480,632,225/201,963.25
  6. Step 6: Final answer
    x = 948,096.41

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.