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Finding the Third Proportional to 473,234.50 and 664,028

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Solution

The third proportional to 473,234.50 and 664,028 is: 931,743.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,234.50 : 664,028 = 664,028 : x
  2. Step 2: Convert to fraction form
    473,234.50/664,028 = 664,028/x
  3. Step 3: Cross multiply
    473,234.50x = 664,028 × 664,028
  4. Step 4: Simplify right side
    473,234.50x = 440,933,184,784
  5. Step 5: Solve for x
    x = 440,933,184,784/473,234.50
  6. Step 6: Final answer
    x = 931,743.53

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.