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Finding the Third Proportional to 259,900.50 and 562,447.50

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Solution

The third proportional to 259,900.50 and 562,447.50 is: 1,217,185.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,900.50 : 562,447.50 = 562,447.50 : x
  2. Step 2: Convert to fraction form
    259,900.50/562,447.50 = 562,447.50/x
  3. Step 3: Cross multiply
    259,900.50x = 562,447.50 × 562,447.50
  4. Step 4: Simplify right side
    259,900.50x = 316,347,190,256.25
  5. Step 5: Solve for x
    x = 316,347,190,256.25/259,900.50
  6. Step 6: Final answer
    x = 1,217,185.77

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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.