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Finding the Third Proportional to 242,763 and 529,995

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Solution

The third proportional to 242,763 and 529,995 is: 1,157,073.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,763 : 529,995 = 529,995 : x
  2. Step 2: Convert to fraction form
    242,763/529,995 = 529,995/x
  3. Step 3: Cross multiply
    242,763x = 529,995 × 529,995
  4. Step 4: Simplify right side
    242,763x = 280,894,700,025
  5. Step 5: Solve for x
    x = 280,894,700,025/242,763
  6. Step 6: Final answer
    x = 1,157,073.77

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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.