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Finding the Third Proportional to 361,035 and 540,252

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Solution

The third proportional to 361,035 and 540,252 is: 808,431.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,035 : 540,252 = 540,252 : x
  2. Step 2: Convert to fraction form
    361,035/540,252 = 540,252/x
  3. Step 3: Cross multiply
    361,035x = 540,252 × 540,252
  4. Step 4: Simplify right side
    361,035x = 291,872,223,504
  5. Step 5: Solve for x
    x = 291,872,223,504/361,035
  6. Step 6: Final answer
    x = 808,431.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.