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Finding the Third Proportional to 229,480.50 and 497,085

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Solution

The third proportional to 229,480.50 and 497,085 is: 1,076,751.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,480.50 : 497,085 = 497,085 : x
  2. Step 2: Convert to fraction form
    229,480.50/497,085 = 497,085/x
  3. Step 3: Cross multiply
    229,480.50x = 497,085 × 497,085
  4. Step 4: Simplify right side
    229,480.50x = 247,093,497,225
  5. Step 5: Solve for x
    x = 247,093,497,225/229,480.50
  6. Step 6: Final answer
    x = 1,076,751.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.