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Finding the Third Proportional to 414,359 and 623,082

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Solution

The third proportional to 414,359 and 623,082 is: 936,944.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,359 : 623,082 = 623,082 : x
  2. Step 2: Convert to fraction form
    414,359/623,082 = 623,082/x
  3. Step 3: Cross multiply
    414,359x = 623,082 × 623,082
  4. Step 4: Simplify right side
    414,359x = 388,231,178,724
  5. Step 5: Solve for x
    x = 388,231,178,724/414,359
  6. Step 6: Final answer
    x = 936,944.00

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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.