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Finding the Third Proportional to 246,036 and 379,566

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Solution

The third proportional to 246,036 and 379,566 is: 585,566.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,036 : 379,566 = 379,566 : x
  2. Step 2: Convert to fraction form
    246,036/379,566 = 379,566/x
  3. Step 3: Cross multiply
    246,036x = 379,566 × 379,566
  4. Step 4: Simplify right side
    246,036x = 144,070,348,356
  5. Step 5: Solve for x
    x = 144,070,348,356/246,036
  6. Step 6: Final answer
    x = 585,566.13

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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.