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Finding the Third Proportional to 272,053.69 and 592,494.75

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Solution

The third proportional to 272,053.69 and 592,494.75 is: 1,290,370.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,053.69 : 592,494.75 = 592,494.75 : x
  2. Step 2: Convert to fraction form
    272,053.69/592,494.75 = 592,494.75/x
  3. Step 3: Cross multiply
    272,053.69x = 592,494.75 × 592,494.75
  4. Step 4: Simplify right side
    272,053.69x = 351,050,028,777.56
  5. Step 5: Solve for x
    x = 351,050,028,777.56/272,053.69
  6. Step 6: Final answer
    x = 1,290,370.41

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.