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Finding the Third Proportional to 201,476 and 441,702

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Solution

The third proportional to 201,476 and 441,702 is: 968,356.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,476 : 441,702 = 441,702 : x
  2. Step 2: Convert to fraction form
    201,476/441,702 = 441,702/x
  3. Step 3: Cross multiply
    201,476x = 441,702 × 441,702
  4. Step 4: Simplify right side
    201,476x = 195,100,656,804
  5. Step 5: Solve for x
    x = 195,100,656,804/201,476
  6. Step 6: Final answer
    x = 968,356.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.