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Finding the Third Proportional to 292,830 and 639,366

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Solution

The third proportional to 292,830 and 639,366 is: 1,395,993.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,830 : 639,366 = 639,366 : x
  2. Step 2: Convert to fraction form
    292,830/639,366 = 639,366/x
  3. Step 3: Cross multiply
    292,830x = 639,366 × 639,366
  4. Step 4: Simplify right side
    292,830x = 408,788,881,956
  5. Step 5: Solve for x
    x = 408,788,881,956/292,830
  6. Step 6: Final answer
    x = 1,395,993.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.