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Finding the Third Proportional to 253,949.77 and 528,917.98

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Solution

The third proportional to 253,949.77 and 528,917.98 is: 1,101,612.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,949.77 : 528,917.98 = 528,917.98 : x
  2. Step 2: Convert to fraction form
    253,949.77/528,917.98 = 528,917.98/x
  3. Step 3: Cross multiply
    253,949.77x = 528,917.98 × 528,917.98
  4. Step 4: Simplify right side
    253,949.77x = 279,754,225,930.97
  5. Step 5: Solve for x
    x = 279,754,225,930.97/253,949.77
  6. Step 6: Final answer
    x = 1,101,612.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.