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Finding the Third Proportional to 272,976.75 and 593,109.84

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Solution

The third proportional to 272,976.75 and 593,109.84 is: 1,288,678.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,976.75 : 593,109.84 = 593,109.84 : x
  2. Step 2: Convert to fraction form
    272,976.75/593,109.84 = 593,109.84/x
  3. Step 3: Cross multiply
    272,976.75x = 593,109.84 × 593,109.84
  4. Step 4: Simplify right side
    272,976.75x = 351,779,286,753.15
  5. Step 5: Solve for x
    x = 351,779,286,753.15/272,976.75
  6. Step 6: Final answer
    x = 1,288,678.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.