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Finding the Third Proportional to 438,204 and 920,683.50

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Solution

The third proportional to 438,204 and 920,683.50 is: 1,934,391.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,204 : 920,683.50 = 920,683.50 : x
  2. Step 2: Convert to fraction form
    438,204/920,683.50 = 920,683.50/x
  3. Step 3: Cross multiply
    438,204x = 920,683.50 × 920,683.50
  4. Step 4: Simplify right side
    438,204x = 847,658,107,172.25
  5. Step 5: Solve for x
    x = 847,658,107,172.25/438,204
  6. Step 6: Final answer
    x = 1,934,391.53

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.