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Finding the Third Proportional to 312,095.25 and 471,423.38

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Solution

The third proportional to 312,095.25 and 471,423.38 is: 712,090.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,095.25 : 471,423.38 = 471,423.38 : x
  2. Step 2: Convert to fraction form
    312,095.25/471,423.38 = 471,423.38/x
  3. Step 3: Cross multiply
    312,095.25x = 471,423.38 × 471,423.38
  4. Step 4: Simplify right side
    312,095.25x = 222,239,998,496.39
  5. Step 5: Solve for x
    x = 222,239,998,496.39/312,095.25
  6. Step 6: Final answer
    x = 712,090.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.