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Finding the Third Proportional to 202,334 and 437,471

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Solution

The third proportional to 202,334 and 437,471 is: 945,866.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,334 : 437,471 = 437,471 : x
  2. Step 2: Convert to fraction form
    202,334/437,471 = 437,471/x
  3. Step 3: Cross multiply
    202,334x = 437,471 × 437,471
  4. Step 4: Simplify right side
    202,334x = 191,380,875,841
  5. Step 5: Solve for x
    x = 191,380,875,841/202,334
  6. Step 6: Final answer
    x = 945,866.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.