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Finding the Third Proportional to 317,878.50 and 476,817

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Solution

The third proportional to 317,878.50 and 476,817 is: 715,224.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,878.50 : 476,817 = 476,817 : x
  2. Step 2: Convert to fraction form
    317,878.50/476,817 = 476,817/x
  3. Step 3: Cross multiply
    317,878.50x = 476,817 × 476,817
  4. Step 4: Simplify right side
    317,878.50x = 227,354,451,489
  5. Step 5: Solve for x
    x = 227,354,451,489/317,878.50
  6. Step 6: Final answer
    x = 715,224.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.