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Finding the Third Proportional to 242,638.88 and 527,194.69

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Solution

The third proportional to 242,638.88 and 527,194.69 is: 1,145,464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,638.88 : 527,194.69 = 527,194.69 : x
  2. Step 2: Convert to fraction form
    242,638.88/527,194.69 = 527,194.69/x
  3. Step 3: Cross multiply
    242,638.88x = 527,194.69 × 527,194.69
  4. Step 4: Simplify right side
    242,638.88x = 277,934,238,528.22
  5. Step 5: Solve for x
    x = 277,934,238,528.22/242,638.88
  6. Step 6: Final answer
    x = 1,145,464.59

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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.