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Finding the Third Proportional to 386,337 and 590,989

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Solution

The third proportional to 386,337 and 590,989 is: 904,050.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,337 : 590,989 = 590,989 : x
  2. Step 2: Convert to fraction form
    386,337/590,989 = 590,989/x
  3. Step 3: Cross multiply
    386,337x = 590,989 × 590,989
  4. Step 4: Simplify right side
    386,337x = 349,267,998,121
  5. Step 5: Solve for x
    x = 349,267,998,121/386,337
  6. Step 6: Final answer
    x = 904,050.09

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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.