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Finding the Third Proportional to 242,406 and 529,956

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Solution

The third proportional to 242,406 and 529,956 is: 1,158,607.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,406 : 529,956 = 529,956 : x
  2. Step 2: Convert to fraction form
    242,406/529,956 = 529,956/x
  3. Step 3: Cross multiply
    242,406x = 529,956 × 529,956
  4. Step 4: Simplify right side
    242,406x = 280,853,361,936
  5. Step 5: Solve for x
    x = 280,853,361,936/242,406
  6. Step 6: Final answer
    x = 1,158,607.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.