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Finding the Third Proportional to 361,870 and 784,975

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Solution

The third proportional to 361,870 and 784,975 is: 1,702,782.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,870 : 784,975 = 784,975 : x
  2. Step 2: Convert to fraction form
    361,870/784,975 = 784,975/x
  3. Step 3: Cross multiply
    361,870x = 784,975 × 784,975
  4. Step 4: Simplify right side
    361,870x = 616,185,750,625
  5. Step 5: Solve for x
    x = 616,185,750,625/361,870
  6. Step 6: Final answer
    x = 1,702,782.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.