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Finding the Third Proportional to 386,064 and 590,577

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Solution

The third proportional to 386,064 and 590,577 is: 903,428.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,064 : 590,577 = 590,577 : x
  2. Step 2: Convert to fraction form
    386,064/590,577 = 590,577/x
  3. Step 3: Cross multiply
    386,064x = 590,577 × 590,577
  4. Step 4: Simplify right side
    386,064x = 348,781,192,929
  5. Step 5: Solve for x
    x = 348,781,192,929/386,064
  6. Step 6: Final answer
    x = 903,428.43

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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.