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Finding the Third Proportional to 387,104 and 598,144

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Solution

The third proportional to 387,104 and 598,144 is: 924,238.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,104 : 598,144 = 598,144 : x
  2. Step 2: Convert to fraction form
    387,104/598,144 = 598,144/x
  3. Step 3: Cross multiply
    387,104x = 598,144 × 598,144
  4. Step 4: Simplify right side
    387,104x = 357,776,244,736
  5. Step 5: Solve for x
    x = 357,776,244,736/387,104
  6. Step 6: Final answer
    x = 924,238.05

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.