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Finding the Third Proportional to 246,117 and 379,674

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Solution

The third proportional to 246,117 and 379,674 is: 585,706.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,117 : 379,674 = 379,674 : x
  2. Step 2: Convert to fraction form
    246,117/379,674 = 379,674/x
  3. Step 3: Cross multiply
    246,117x = 379,674 × 379,674
  4. Step 4: Simplify right side
    246,117x = 144,152,346,276
  5. Step 5: Solve for x
    x = 144,152,346,276/246,117
  6. Step 6: Final answer
    x = 585,706.58

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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.