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Finding the Third Proportional to 407,218 and 598,962

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Solution

The third proportional to 407,218 and 598,962 is: 880,991.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,218 : 598,962 = 598,962 : x
  2. Step 2: Convert to fraction form
    407,218/598,962 = 598,962/x
  3. Step 3: Cross multiply
    407,218x = 598,962 × 598,962
  4. Step 4: Simplify right side
    407,218x = 358,755,477,444
  5. Step 5: Solve for x
    x = 358,755,477,444/407,218
  6. Step 6: Final answer
    x = 880,991.21

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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.