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Finding the Third Proportional to 201,632 and 434,762

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Solution

The third proportional to 201,632 and 434,762 is: 937,440.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,632 : 434,762 = 434,762 : x
  2. Step 2: Convert to fraction form
    201,632/434,762 = 434,762/x
  3. Step 3: Cross multiply
    201,632x = 434,762 × 434,762
  4. Step 4: Simplify right side
    201,632x = 189,017,996,644
  5. Step 5: Solve for x
    x = 189,017,996,644/201,632
  6. Step 6: Final answer
    x = 937,440.47

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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.