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Finding the Third Proportional to 291,837 and 639,033

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Solution

The third proportional to 291,837 and 639,033 is: 1,399,285.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,837 : 639,033 = 639,033 : x
  2. Step 2: Convert to fraction form
    291,837/639,033 = 639,033/x
  3. Step 3: Cross multiply
    291,837x = 639,033 × 639,033
  4. Step 4: Simplify right side
    291,837x = 408,363,175,089
  5. Step 5: Solve for x
    x = 408,363,175,089/291,837
  6. Step 6: Final answer
    x = 1,399,285.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.