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Finding the Third Proportional to 230,293 and 495,578.25

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Solution

The third proportional to 230,293 and 495,578.25 is: 1,066,457.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,293 : 495,578.25 = 495,578.25 : x
  2. Step 2: Convert to fraction form
    230,293/495,578.25 = 495,578.25/x
  3. Step 3: Cross multiply
    230,293x = 495,578.25 × 495,578.25
  4. Step 4: Simplify right side
    230,293x = 245,597,801,873.06
  5. Step 5: Solve for x
    x = 245,597,801,873.06/230,293
  6. Step 6: Final answer
    x = 1,066,457.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.