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Finding the Third Proportional to 243,134 and 523,726

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Solution

The third proportional to 243,134 and 523,726 is: 1,128,138.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,134 : 523,726 = 523,726 : x
  2. Step 2: Convert to fraction form
    243,134/523,726 = 523,726/x
  3. Step 3: Cross multiply
    243,134x = 523,726 × 523,726
  4. Step 4: Simplify right side
    243,134x = 274,288,923,076
  5. Step 5: Solve for x
    x = 274,288,923,076/243,134
  6. Step 6: Final answer
    x = 1,128,138.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.