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Finding the Third Proportional to 407,988 and 959,689.50

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Solution

The third proportional to 407,988 and 959,689.50 is: 2,257,428.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,988 : 959,689.50 = 959,689.50 : x
  2. Step 2: Convert to fraction form
    407,988/959,689.50 = 959,689.50/x
  3. Step 3: Cross multiply
    407,988x = 959,689.50 × 959,689.50
  4. Step 4: Simplify right side
    407,988x = 921,003,936,410.25
  5. Step 5: Solve for x
    x = 921,003,936,410.25/407,988
  6. Step 6: Final answer
    x = 2,257,428.98

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.