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Finding the Third Proportional to 306,049.50 and 662,940

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Solution

The third proportional to 306,049.50 and 662,940 is: 1,436,007.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,049.50 : 662,940 = 662,940 : x
  2. Step 2: Convert to fraction form
    306,049.50/662,940 = 662,940/x
  3. Step 3: Cross multiply
    306,049.50x = 662,940 × 662,940
  4. Step 4: Simplify right side
    306,049.50x = 439,489,443,600
  5. Step 5: Solve for x
    x = 439,489,443,600/306,049.50
  6. Step 6: Final answer
    x = 1,436,007.72

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.