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Finding the Third Proportional to 393,082 and 623,431

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Solution

The third proportional to 393,082 and 623,431 is: 988,766.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,082 : 623,431 = 623,431 : x
  2. Step 2: Convert to fraction form
    393,082/623,431 = 623,431/x
  3. Step 3: Cross multiply
    393,082x = 623,431 × 623,431
  4. Step 4: Simplify right side
    393,082x = 388,666,211,761
  5. Step 5: Solve for x
    x = 388,666,211,761/393,082
  6. Step 6: Final answer
    x = 988,766.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.