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Finding the Third Proportional to 368,504 and 781,293

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Solution

The third proportional to 368,504 and 781,293 is: 1,656,477.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,504 : 781,293 = 781,293 : x
  2. Step 2: Convert to fraction form
    368,504/781,293 = 781,293/x
  3. Step 3: Cross multiply
    368,504x = 781,293 × 781,293
  4. Step 4: Simplify right side
    368,504x = 610,418,751,849
  5. Step 5: Solve for x
    x = 610,418,751,849/368,504
  6. Step 6: Final answer
    x = 1,656,477.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.