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Finding the Third Proportional to 351,012 and 758,061

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Solution

The third proportional to 351,012 and 758,061 is: 1,637,141.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,012 : 758,061 = 758,061 : x
  2. Step 2: Convert to fraction form
    351,012/758,061 = 758,061/x
  3. Step 3: Cross multiply
    351,012x = 758,061 × 758,061
  4. Step 4: Simplify right side
    351,012x = 574,656,479,721
  5. Step 5: Solve for x
    x = 574,656,479,721/351,012
  6. Step 6: Final answer
    x = 1,637,141.98

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.