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Finding the Third Proportional to 306,305 and 703,051

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Solution

The third proportional to 306,305 and 703,051 is: 1,613,688.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,305 : 703,051 = 703,051 : x
  2. Step 2: Convert to fraction form
    306,305/703,051 = 703,051/x
  3. Step 3: Cross multiply
    306,305x = 703,051 × 703,051
  4. Step 4: Simplify right side
    306,305x = 494,280,708,601
  5. Step 5: Solve for x
    x = 494,280,708,601/306,305
  6. Step 6: Final answer
    x = 1,613,688.02

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.