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Finding the Third Proportional to 434,665 and 664,912.50

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Solution

The third proportional to 434,665 and 664,912.50 is: 1,017,124.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,665 : 664,912.50 = 664,912.50 : x
  2. Step 2: Convert to fraction form
    434,665/664,912.50 = 664,912.50/x
  3. Step 3: Cross multiply
    434,665x = 664,912.50 × 664,912.50
  4. Step 4: Simplify right side
    434,665x = 442,108,632,656.25
  5. Step 5: Solve for x
    x = 442,108,632,656.25/434,665
  6. Step 6: Final answer
    x = 1,017,124.99

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.