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Finding the Third Proportional to 292,815 and 639,333

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Solution

The third proportional to 292,815 and 639,333 is: 1,395,921.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,815 : 639,333 = 639,333 : x
  2. Step 2: Convert to fraction form
    292,815/639,333 = 639,333/x
  3. Step 3: Cross multiply
    292,815x = 639,333 × 639,333
  4. Step 4: Simplify right side
    292,815x = 408,746,684,889
  5. Step 5: Solve for x
    x = 408,746,684,889/292,815
  6. Step 6: Final answer
    x = 1,395,921.26

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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.