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Finding the Third Proportional to 496,938 and 662,082

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Solution

The third proportional to 496,938 and 662,082 is: 882,107.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,938 : 662,082 = 662,082 : x
  2. Step 2: Convert to fraction form
    496,938/662,082 = 662,082/x
  3. Step 3: Cross multiply
    496,938x = 662,082 × 662,082
  4. Step 4: Simplify right side
    496,938x = 438,352,574,724
  5. Step 5: Solve for x
    x = 438,352,574,724/496,938
  6. Step 6: Final answer
    x = 882,107.17

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.