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Finding the Third Proportional to 259,968.38 and 562,583.25

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Solution

The third proportional to 259,968.38 and 562,583.25 is: 1,217,455.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,968.38 : 562,583.25 = 562,583.25 : x
  2. Step 2: Convert to fraction form
    259,968.38/562,583.25 = 562,583.25/x
  3. Step 3: Cross multiply
    259,968.38x = 562,583.25 × 562,583.25
  4. Step 4: Simplify right side
    259,968.38x = 316,499,913,180.56
  5. Step 5: Solve for x
    x = 316,499,913,180.56/259,968.38
  6. Step 6: Final answer
    x = 1,217,455.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.