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Finding the Third Proportional to 233,984 and 362,001

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Solution

The third proportional to 233,984 and 362,001 is: 560,058.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,984 : 362,001 = 362,001 : x
  2. Step 2: Convert to fraction form
    233,984/362,001 = 362,001/x
  3. Step 3: Cross multiply
    233,984x = 362,001 × 362,001
  4. Step 4: Simplify right side
    233,984x = 131,044,724,001
  5. Step 5: Solve for x
    x = 131,044,724,001/233,984
  6. Step 6: Final answer
    x = 560,058.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.