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Finding the Third Proportional to 246,677 and 519,130

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Solution

The third proportional to 246,677 and 519,130 is: 1,092,505.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,677 : 519,130 = 519,130 : x
  2. Step 2: Convert to fraction form
    246,677/519,130 = 519,130/x
  3. Step 3: Cross multiply
    246,677x = 519,130 × 519,130
  4. Step 4: Simplify right side
    246,677x = 269,495,956,900
  5. Step 5: Solve for x
    x = 269,495,956,900/246,677
  6. Step 6: Final answer
    x = 1,092,505.41

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.