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Finding the Third Proportional to 242,798 and 529,876

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Solution

The third proportional to 242,798 and 529,876 is: 1,156,387.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,798 : 529,876 = 529,876 : x
  2. Step 2: Convert to fraction form
    242,798/529,876 = 529,876/x
  3. Step 3: Cross multiply
    242,798x = 529,876 × 529,876
  4. Step 4: Simplify right side
    242,798x = 280,768,575,376
  5. Step 5: Solve for x
    x = 280,768,575,376/242,798
  6. Step 6: Final answer
    x = 1,156,387.51

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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.