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Finding the Third Proportional to 624,136.50 and 924,540.75

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Solution

The third proportional to 624,136.50 and 924,540.75 is: 1,369,533.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,136.50 : 924,540.75 = 924,540.75 : x
  2. Step 2: Convert to fraction form
    624,136.50/924,540.75 = 924,540.75/x
  3. Step 3: Cross multiply
    624,136.50x = 924,540.75 × 924,540.75
  4. Step 4: Simplify right side
    624,136.50x = 854,775,598,410.56
  5. Step 5: Solve for x
    x = 854,775,598,410.56/624,136.50
  6. Step 6: Final answer
    x = 1,369,533.10

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.