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Finding the Third Proportional to 350,136 and 548,683.50

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Solution

The third proportional to 350,136 and 548,683.50 is: 859,818.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,136 : 548,683.50 = 548,683.50 : x
  2. Step 2: Convert to fraction form
    350,136/548,683.50 = 548,683.50/x
  3. Step 3: Cross multiply
    350,136x = 548,683.50 × 548,683.50
  4. Step 4: Simplify right side
    350,136x = 301,053,583,172.25
  5. Step 5: Solve for x
    x = 301,053,583,172.25/350,136
  6. Step 6: Final answer
    x = 859,818.99

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.