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Finding the Third Proportional to 416,398 and 904,145

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Solution

The third proportional to 416,398 and 904,145 is: 1,963,213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,398 : 904,145 = 904,145 : x
  2. Step 2: Convert to fraction form
    416,398/904,145 = 904,145/x
  3. Step 3: Cross multiply
    416,398x = 904,145 × 904,145
  4. Step 4: Simplify right side
    416,398x = 817,478,181,025
  5. Step 5: Solve for x
    x = 817,478,181,025/416,398
  6. Step 6: Final answer
    x = 1,963,213.51

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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.