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Finding the Third Proportional to 253,696.50 and 545,665.50

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Solution

The third proportional to 253,696.50 and 545,665.50 is: 1,173,649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,696.50 : 545,665.50 = 545,665.50 : x
  2. Step 2: Convert to fraction form
    253,696.50/545,665.50 = 545,665.50/x
  3. Step 3: Cross multiply
    253,696.50x = 545,665.50 × 545,665.50
  4. Step 4: Simplify right side
    253,696.50x = 297,750,837,890.25
  5. Step 5: Solve for x
    x = 297,750,837,890.25/253,696.50
  6. Step 6: Final answer
    x = 1,173,649.77

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.