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Finding the Third Proportional to 242,596 and 526,425

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Solution

The third proportional to 242,596 and 526,425 is: 1,142,324.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,596 : 526,425 = 526,425 : x
  2. Step 2: Convert to fraction form
    242,596/526,425 = 526,425/x
  3. Step 3: Cross multiply
    242,596x = 526,425 × 526,425
  4. Step 4: Simplify right side
    242,596x = 277,123,280,625
  5. Step 5: Solve for x
    x = 277,123,280,625/242,596
  6. Step 6: Final answer
    x = 1,142,324.20

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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.