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Finding the Third Proportional to 726,538 and 997,342

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Solution

The third proportional to 726,538 and 997,342 is: 1,369,083.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,538 : 997,342 = 997,342 : x
  2. Step 2: Convert to fraction form
    726,538/997,342 = 997,342/x
  3. Step 3: Cross multiply
    726,538x = 997,342 × 997,342
  4. Step 4: Simplify right side
    726,538x = 994,691,064,964
  5. Step 5: Solve for x
    x = 994,691,064,964/726,538
  6. Step 6: Final answer
    x = 1,369,083.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.