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Finding the Third Proportional to 201,260 and 437,464

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Solution

The third proportional to 201,260 and 437,464 is: 950,883.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,260 : 437,464 = 437,464 : x
  2. Step 2: Convert to fraction form
    201,260/437,464 = 437,464/x
  3. Step 3: Cross multiply
    201,260x = 437,464 × 437,464
  4. Step 4: Simplify right side
    201,260x = 191,374,751,296
  5. Step 5: Solve for x
    x = 191,374,751,296/201,260
  6. Step 6: Final answer
    x = 950,883.19

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Why These Related Problems?

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