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Finding the Third Proportional to 211,232 and 437,440

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Solution

The third proportional to 211,232 and 437,440 is: 905,893.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,232 : 437,440 = 437,440 : x
  2. Step 2: Convert to fraction form
    211,232/437,440 = 437,440/x
  3. Step 3: Cross multiply
    211,232x = 437,440 × 437,440
  4. Step 4: Simplify right side
    211,232x = 191,353,753,600
  5. Step 5: Solve for x
    x = 191,353,753,600/211,232
  6. Step 6: Final answer
    x = 905,893.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.