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Finding the Third Proportional to 334,555 and 476,919

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Solution

The third proportional to 334,555 and 476,919 is: 679,863.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,555 : 476,919 = 476,919 : x
  2. Step 2: Convert to fraction form
    334,555/476,919 = 476,919/x
  3. Step 3: Cross multiply
    334,555x = 476,919 × 476,919
  4. Step 4: Simplify right side
    334,555x = 227,451,732,561
  5. Step 5: Solve for x
    x = 227,451,732,561/334,555
  6. Step 6: Final answer
    x = 679,863.50

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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.