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Finding the Third Proportional to 562,802 and 804,753

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Solution

The third proportional to 562,802 and 804,753 is: 1,150,719.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,802 : 804,753 = 804,753 : x
  2. Step 2: Convert to fraction form
    562,802/804,753 = 804,753/x
  3. Step 3: Cross multiply
    562,802x = 804,753 × 804,753
  4. Step 4: Simplify right side
    562,802x = 647,627,391,009
  5. Step 5: Solve for x
    x = 647,627,391,009/562,802
  6. Step 6: Final answer
    x = 1,150,719.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.