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Finding the Third Proportional to 414,627.75 and 904,293

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Solution

The third proportional to 414,627.75 and 904,293 is: 1,972,240.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,627.75 : 904,293 = 904,293 : x
  2. Step 2: Convert to fraction form
    414,627.75/904,293 = 904,293/x
  3. Step 3: Cross multiply
    414,627.75x = 904,293 × 904,293
  4. Step 4: Simplify right side
    414,627.75x = 817,745,829,849
  5. Step 5: Solve for x
    x = 817,745,829,849/414,627.75
  6. Step 6: Final answer
    x = 1,972,240.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.