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Finding the Third Proportional to 334,486 and 476,817

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Solution

The third proportional to 334,486 and 476,817 is: 679,712.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,486 : 476,817 = 476,817 : x
  2. Step 2: Convert to fraction form
    334,486/476,817 = 476,817/x
  3. Step 3: Cross multiply
    334,486x = 476,817 × 476,817
  4. Step 4: Simplify right side
    334,486x = 227,354,451,489
  5. Step 5: Solve for x
    x = 227,354,451,489/334,486
  6. Step 6: Final answer
    x = 679,712.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.