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Finding the Third Proportional to 507,074 and 759,027

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Solution

The third proportional to 507,074 and 759,027 is: 1,136,169.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,074 : 759,027 = 759,027 : x
  2. Step 2: Convert to fraction form
    507,074/759,027 = 759,027/x
  3. Step 3: Cross multiply
    507,074x = 759,027 × 759,027
  4. Step 4: Simplify right side
    507,074x = 576,121,986,729
  5. Step 5: Solve for x
    x = 576,121,986,729/507,074
  6. Step 6: Final answer
    x = 1,136,169.45

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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.