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Finding the Third Proportional to 507,048 and 758,992

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Solution

The third proportional to 507,048 and 758,992 is: 1,136,122.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,048 : 758,992 = 758,992 : x
  2. Step 2: Convert to fraction form
    507,048/758,992 = 758,992/x
  3. Step 3: Cross multiply
    507,048x = 758,992 × 758,992
  4. Step 4: Simplify right side
    507,048x = 576,068,856,064
  5. Step 5: Solve for x
    x = 576,068,856,064/507,048
  6. Step 6: Final answer
    x = 1,136,122.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.