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Finding the Third Proportional to 551,472 and 884,796

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Solution

The third proportional to 551,472 and 884,796 is: 1,419,589.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,472 : 884,796 = 884,796 : x
  2. Step 2: Convert to fraction form
    551,472/884,796 = 884,796/x
  3. Step 3: Cross multiply
    551,472x = 884,796 × 884,796
  4. Step 4: Simplify right side
    551,472x = 782,863,961,616
  5. Step 5: Solve for x
    x = 782,863,961,616/551,472
  6. Step 6: Final answer
    x = 1,419,589.68

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.