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Finding the Third Proportional to 292,275 and 396,076.50

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Solution

The third proportional to 292,275 and 396,076.50 is: 536,743.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,275 : 396,076.50 = 396,076.50 : x
  2. Step 2: Convert to fraction form
    292,275/396,076.50 = 396,076.50/x
  3. Step 3: Cross multiply
    292,275x = 396,076.50 × 396,076.50
  4. Step 4: Simplify right side
    292,275x = 156,876,593,852.25
  5. Step 5: Solve for x
    x = 156,876,593,852.25/292,275
  6. Step 6: Final answer
    x = 536,743.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.