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Finding the Third Proportional to 529,202.25 and 794,997

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Solution

The third proportional to 529,202.25 and 794,997 is: 1,194,288.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,202.25 : 794,997 = 794,997 : x
  2. Step 2: Convert to fraction form
    529,202.25/794,997 = 794,997/x
  3. Step 3: Cross multiply
    529,202.25x = 794,997 × 794,997
  4. Step 4: Simplify right side
    529,202.25x = 632,020,230,009
  5. Step 5: Solve for x
    x = 632,020,230,009/529,202.25
  6. Step 6: Final answer
    x = 1,194,288.63

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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.