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Finding the Third Proportional to 386,337 and 590,991

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Solution

The third proportional to 386,337 and 590,991 is: 904,056.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,337 : 590,991 = 590,991 : x
  2. Step 2: Convert to fraction form
    386,337/590,991 = 590,991/x
  3. Step 3: Cross multiply
    386,337x = 590,991 × 590,991
  4. Step 4: Simplify right side
    386,337x = 349,270,362,081
  5. Step 5: Solve for x
    x = 349,270,362,081/386,337
  6. Step 6: Final answer
    x = 904,056.21

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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.