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Finding the Third Proportional to 413,181 and 637,996.50

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Solution

The third proportional to 413,181 and 637,996.50 is: 985,136.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,181 : 637,996.50 = 637,996.50 : x
  2. Step 2: Convert to fraction form
    413,181/637,996.50 = 637,996.50/x
  3. Step 3: Cross multiply
    413,181x = 637,996.50 × 637,996.50
  4. Step 4: Simplify right side
    413,181x = 407,039,534,012.25
  5. Step 5: Solve for x
    x = 407,039,534,012.25/413,181
  6. Step 6: Final answer
    x = 985,136.14

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.