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Finding the Third Proportional to 562,800 and 804,750

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Solution

The third proportional to 562,800 and 804,750 is: 1,150,715.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,800 : 804,750 = 804,750 : x
  2. Step 2: Convert to fraction form
    562,800/804,750 = 804,750/x
  3. Step 3: Cross multiply
    562,800x = 804,750 × 804,750
  4. Step 4: Simplify right side
    562,800x = 647,622,562,500
  5. Step 5: Solve for x
    x = 647,622,562,500/562,800
  6. Step 6: Final answer
    x = 1,150,715.29

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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.