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Finding the Third Proportional to 299,353.50 and 430,341.75

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Solution

The third proportional to 299,353.50 and 430,341.75 is: 618,646.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,353.50 : 430,341.75 = 430,341.75 : x
  2. Step 2: Convert to fraction form
    299,353.50/430,341.75 = 430,341.75/x
  3. Step 3: Cross multiply
    299,353.50x = 430,341.75 × 430,341.75
  4. Step 4: Simplify right side
    299,353.50x = 185,194,021,793.06
  5. Step 5: Solve for x
    x = 185,194,021,793.06/299,353.50
  6. Step 6: Final answer
    x = 618,646.59

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.