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Finding the Third Proportional to 416,399 and 904,148

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Solution

The third proportional to 416,399 and 904,148 is: 1,963,221.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,399 : 904,148 = 904,148 : x
  2. Step 2: Convert to fraction form
    416,399/904,148 = 904,148/x
  3. Step 3: Cross multiply
    416,399x = 904,148 × 904,148
  4. Step 4: Simplify right side
    416,399x = 817,483,605,904
  5. Step 5: Solve for x
    x = 817,483,605,904/416,399
  6. Step 6: Final answer
    x = 1,963,221.83

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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.