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Finding the Third Proportional to 432,005 and 653,962

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Solution

The third proportional to 432,005 and 653,962 is: 989,956.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,005 : 653,962 = 653,962 : x
  2. Step 2: Convert to fraction form
    432,005/653,962 = 653,962/x
  3. Step 3: Cross multiply
    432,005x = 653,962 × 653,962
  4. Step 4: Simplify right side
    432,005x = 427,666,297,444
  5. Step 5: Solve for x
    x = 427,666,297,444/432,005
  6. Step 6: Final answer
    x = 989,956.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.