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Finding the Third Proportional to 305,934.75 and 492,525

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Solution

The third proportional to 305,934.75 and 492,525 is: 792,917.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,934.75 : 492,525 = 492,525 : x
  2. Step 2: Convert to fraction form
    305,934.75/492,525 = 492,525/x
  3. Step 3: Cross multiply
    305,934.75x = 492,525 × 492,525
  4. Step 4: Simplify right side
    305,934.75x = 242,580,875,625
  5. Step 5: Solve for x
    x = 242,580,875,625/305,934.75
  6. Step 6: Final answer
    x = 792,917.04

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.