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Finding the Third Proportional to 435,832 and 653,728

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Solution

The third proportional to 435,832 and 653,728 is: 980,562.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,832 : 653,728 = 653,728 : x
  2. Step 2: Convert to fraction form
    435,832/653,728 = 653,728/x
  3. Step 3: Cross multiply
    435,832x = 653,728 × 653,728
  4. Step 4: Simplify right side
    435,832x = 427,360,297,984
  5. Step 5: Solve for x
    x = 427,360,297,984/435,832
  6. Step 6: Final answer
    x = 980,562.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.