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Finding the Third Proportional to 201,024 and 437,040

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Solution

The third proportional to 201,024 and 437,040 is: 950,155.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,024 : 437,040 = 437,040 : x
  2. Step 2: Convert to fraction form
    201,024/437,040 = 437,040/x
  3. Step 3: Cross multiply
    201,024x = 437,040 × 437,040
  4. Step 4: Simplify right side
    201,024x = 191,003,961,600
  5. Step 5: Solve for x
    x = 191,003,961,600/201,024
  6. Step 6: Final answer
    x = 950,155.01

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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.