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Finding the Third Proportional to 574,458 and 804,997

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Solution

The third proportional to 574,458 and 804,997 is: 1,128,054.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,458 : 804,997 = 804,997 : x
  2. Step 2: Convert to fraction form
    574,458/804,997 = 804,997/x
  3. Step 3: Cross multiply
    574,458x = 804,997 × 804,997
  4. Step 4: Simplify right side
    574,458x = 648,020,170,009
  5. Step 5: Solve for x
    x = 648,020,170,009/574,458
  6. Step 6: Final answer
    x = 1,128,054.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.