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Finding the Third Proportional to 386,345 and 590,997

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Solution

The third proportional to 386,345 and 590,997 is: 904,055.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,345 : 590,997 = 590,997 : x
  2. Step 2: Convert to fraction form
    386,345/590,997 = 590,997/x
  3. Step 3: Cross multiply
    386,345x = 590,997 × 590,997
  4. Step 4: Simplify right side
    386,345x = 349,277,454,009
  5. Step 5: Solve for x
    x = 349,277,454,009/386,345
  6. Step 6: Final answer
    x = 904,055.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.