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Finding the Third Proportional to 501,974 and 764,725

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Solution

The third proportional to 501,974 and 764,725 is: 1,165,009.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,974 : 764,725 = 764,725 : x
  2. Step 2: Convert to fraction form
    501,974/764,725 = 764,725/x
  3. Step 3: Cross multiply
    501,974x = 764,725 × 764,725
  4. Step 4: Simplify right side
    501,974x = 584,804,325,625
  5. Step 5: Solve for x
    x = 584,804,325,625/501,974
  6. Step 6: Final answer
    x = 1,165,009.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.