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Finding the Third Proportional to 279,918 and 430,285.50

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Solution

The third proportional to 279,918 and 430,285.50 is: 661,428.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,918 : 430,285.50 = 430,285.50 : x
  2. Step 2: Convert to fraction form
    279,918/430,285.50 = 430,285.50/x
  3. Step 3: Cross multiply
    279,918x = 430,285.50 × 430,285.50
  4. Step 4: Simplify right side
    279,918x = 185,145,611,510.25
  5. Step 5: Solve for x
    x = 185,145,611,510.25/279,918
  6. Step 6: Final answer
    x = 661,428.03

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.