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Finding the Third Proportional to 534,788 and 802,298

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Solution

The third proportional to 534,788 and 802,298 is: 1,203,621.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,788 : 802,298 = 802,298 : x
  2. Step 2: Convert to fraction form
    534,788/802,298 = 802,298/x
  3. Step 3: Cross multiply
    534,788x = 802,298 × 802,298
  4. Step 4: Simplify right side
    534,788x = 643,682,080,804
  5. Step 5: Solve for x
    x = 643,682,080,804/534,788
  6. Step 6: Final answer
    x = 1,203,621.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.