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Finding the Third Proportional to 253,315.69 and 538,813.69

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Solution

The third proportional to 253,315.69 and 538,813.69 is: 1,146,080.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,315.69 : 538,813.69 = 538,813.69 : x
  2. Step 2: Convert to fraction form
    253,315.69/538,813.69 = 538,813.69/x
  3. Step 3: Cross multiply
    253,315.69x = 538,813.69 × 538,813.69
  4. Step 4: Simplify right side
    253,315.69x = 290,320,189,837.35
  5. Step 5: Solve for x
    x = 290,320,189,837.35/253,315.69
  6. Step 6: Final answer
    x = 1,146,080.58

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.