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Finding the Third Proportional to 246,484 and 504,650

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Solution

The third proportional to 246,484 and 504,650 is: 1,033,217.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,484 : 504,650 = 504,650 : x
  2. Step 2: Convert to fraction form
    246,484/504,650 = 504,650/x
  3. Step 3: Cross multiply
    246,484x = 504,650 × 504,650
  4. Step 4: Simplify right side
    246,484x = 254,671,622,500
  5. Step 5: Solve for x
    x = 254,671,622,500/246,484
  6. Step 6: Final answer
    x = 1,033,217.66

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.