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Finding the Third Proportional to 542,938 and 713,966

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Solution

The third proportional to 542,938 and 713,966 is: 938,868.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,938 : 713,966 = 713,966 : x
  2. Step 2: Convert to fraction form
    542,938/713,966 = 713,966/x
  3. Step 3: Cross multiply
    542,938x = 713,966 × 713,966
  4. Step 4: Simplify right side
    542,938x = 509,747,449,156
  5. Step 5: Solve for x
    x = 509,747,449,156/542,938
  6. Step 6: Final answer
    x = 938,868.62

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.