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Finding the Third Proportional to 342,988 and 743,000

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Solution

The third proportional to 342,988 and 743,000 is: 1,609,528.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,988 : 743,000 = 743,000 : x
  2. Step 2: Convert to fraction form
    342,988/743,000 = 743,000/x
  3. Step 3: Cross multiply
    342,988x = 743,000 × 743,000
  4. Step 4: Simplify right side
    342,988x = 552,049,000,000
  5. Step 5: Solve for x
    x = 552,049,000,000/342,988
  6. Step 6: Final answer
    x = 1,609,528.61

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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.