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Finding the Third Proportional to 246,098 and 379,533

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Solution

The third proportional to 246,098 and 379,533 is: 585,316.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,098 : 379,533 = 379,533 : x
  2. Step 2: Convert to fraction form
    246,098/379,533 = 379,533/x
  3. Step 3: Cross multiply
    246,098x = 379,533 × 379,533
  4. Step 4: Simplify right side
    246,098x = 144,045,298,089
  5. Step 5: Solve for x
    x = 144,045,298,089/246,098
  6. Step 6: Final answer
    x = 585,316.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.