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Finding the Third Proportional to 507,039 and 758,979

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Solution

The third proportional to 507,039 and 758,979 is: 1,136,104.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,039 : 758,979 = 758,979 : x
  2. Step 2: Convert to fraction form
    507,039/758,979 = 758,979/x
  3. Step 3: Cross multiply
    507,039x = 758,979 × 758,979
  4. Step 4: Simplify right side
    507,039x = 576,049,122,441
  5. Step 5: Solve for x
    x = 576,049,122,441/507,039
  6. Step 6: Final answer
    x = 1,136,104.17

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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.