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Finding the Third Proportional to 272,797.88 and 592,813.69

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Solution

The third proportional to 272,797.88 and 592,813.69 is: 1,288,236.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,797.88 : 592,813.69 = 592,813.69 : x
  2. Step 2: Convert to fraction form
    272,797.88/592,813.69 = 592,813.69/x
  3. Step 3: Cross multiply
    272,797.88x = 592,813.69 × 592,813.69
  4. Step 4: Simplify right side
    272,797.88x = 351,428,068,087.35
  5. Step 5: Solve for x
    x = 351,428,068,087.35/272,797.88
  6. Step 6: Final answer
    x = 1,288,236.09

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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.