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Finding the Third Proportional to 242,757 and 529,983

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Solution

The third proportional to 242,757 and 529,983 is: 1,157,049.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,757 : 529,983 = 529,983 : x
  2. Step 2: Convert to fraction form
    242,757/529,983 = 529,983/x
  3. Step 3: Cross multiply
    242,757x = 529,983 × 529,983
  4. Step 4: Simplify right side
    242,757x = 280,881,980,289
  5. Step 5: Solve for x
    x = 280,881,980,289/242,757
  6. Step 6: Final answer
    x = 1,157,049.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.