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Finding the Third Proportional to 361,476 and 785,178

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Solution

The third proportional to 361,476 and 785,178 is: 1,705,519.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,476 : 785,178 = 785,178 : x
  2. Step 2: Convert to fraction form
    361,476/785,178 = 785,178/x
  3. Step 3: Cross multiply
    361,476x = 785,178 × 785,178
  4. Step 4: Simplify right side
    361,476x = 616,504,491,684
  5. Step 5: Solve for x
    x = 616,504,491,684/361,476
  6. Step 6: Final answer
    x = 1,705,519.85

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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.