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Finding the Third Proportional to 201,764 and 442,712

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Solution

The third proportional to 201,764 and 442,712 is: 971,401.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,764 : 442,712 = 442,712 : x
  2. Step 2: Convert to fraction form
    201,764/442,712 = 442,712/x
  3. Step 3: Cross multiply
    201,764x = 442,712 × 442,712
  4. Step 4: Simplify right side
    201,764x = 195,993,914,944
  5. Step 5: Solve for x
    x = 195,993,914,944/201,764
  6. Step 6: Final answer
    x = 971,401.81

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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.