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Finding the Third Proportional to 503,961 and 726,132

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Solution

The third proportional to 503,961 and 726,132 is: 1,046,246.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,961 : 726,132 = 726,132 : x
  2. Step 2: Convert to fraction form
    503,961/726,132 = 726,132/x
  3. Step 3: Cross multiply
    503,961x = 726,132 × 726,132
  4. Step 4: Simplify right side
    503,961x = 527,267,681,424
  5. Step 5: Solve for x
    x = 527,267,681,424/503,961
  6. Step 6: Final answer
    x = 1,046,246.99

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.