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Finding the Third Proportional to 349,863 and 730,794

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Solution

The third proportional to 349,863 and 730,794 is: 1,526,482.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,863 : 730,794 = 730,794 : x
  2. Step 2: Convert to fraction form
    349,863/730,794 = 730,794/x
  3. Step 3: Cross multiply
    349,863x = 730,794 × 730,794
  4. Step 4: Simplify right side
    349,863x = 534,059,870,436
  5. Step 5: Solve for x
    x = 534,059,870,436/349,863
  6. Step 6: Final answer
    x = 1,526,482.85

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.