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Finding the Third Proportional to 407,016 and 598,356

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Solution

The third proportional to 407,016 and 598,356 is: 879,645.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,016 : 598,356 = 598,356 : x
  2. Step 2: Convert to fraction form
    407,016/598,356 = 598,356/x
  3. Step 3: Cross multiply
    407,016x = 598,356 × 598,356
  4. Step 4: Simplify right side
    407,016x = 358,029,902,736
  5. Step 5: Solve for x
    x = 358,029,902,736/407,016
  6. Step 6: Final answer
    x = 879,645.77

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.