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Finding the Third Proportional to 230,293.69 and 495,579.38

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Solution

The third proportional to 230,293.69 and 495,579.38 is: 1,066,459.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,293.69 : 495,579.38 = 495,579.38 : x
  2. Step 2: Convert to fraction form
    230,293.69/495,579.38 = 495,579.38/x
  3. Step 3: Cross multiply
    230,293.69x = 495,579.38 × 495,579.38
  4. Step 4: Simplify right side
    230,293.69x = 245,598,916,925.39
  5. Step 5: Solve for x
    x = 245,598,916,925.39/230,293.69
  6. Step 6: Final answer
    x = 1,066,459.61

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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.