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Finding the Third Proportional to 552,938 and 743,030

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Solution

The third proportional to 552,938 and 743,030 is: 998,472.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,938 : 743,030 = 743,030 : x
  2. Step 2: Convert to fraction form
    552,938/743,030 = 743,030/x
  3. Step 3: Cross multiply
    552,938x = 743,030 × 743,030
  4. Step 4: Simplify right side
    552,938x = 552,093,580,900
  5. Step 5: Solve for x
    x = 552,093,580,900/552,938
  6. Step 6: Final answer
    x = 998,472.85

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.