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Finding the Third Proportional to 204,548 and 437,524.50

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Solution

The third proportional to 204,548 and 437,524.50 is: 935,857.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,548 : 437,524.50 = 437,524.50 : x
  2. Step 2: Convert to fraction form
    204,548/437,524.50 = 437,524.50/x
  3. Step 3: Cross multiply
    204,548x = 437,524.50 × 437,524.50
  4. Step 4: Simplify right side
    204,548x = 191,427,688,100.25
  5. Step 5: Solve for x
    x = 191,427,688,100.25/204,548
  6. Step 6: Final answer
    x = 935,857.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.