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Finding the Third Proportional to 601,578 and 802,788

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Solution

The third proportional to 601,578 and 802,788 is: 1,071,296.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,578 : 802,788 = 802,788 : x
  2. Step 2: Convert to fraction form
    601,578/802,788 = 802,788/x
  3. Step 3: Cross multiply
    601,578x = 802,788 × 802,788
  4. Step 4: Simplify right side
    601,578x = 644,468,572,944
  5. Step 5: Solve for x
    x = 644,468,572,944/601,578
  6. Step 6: Final answer
    x = 1,071,296.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.