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Finding the Third Proportional to 241,398 and 354,702

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Solution

The third proportional to 241,398 and 354,702 is: 521,187.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,398 : 354,702 = 354,702 : x
  2. Step 2: Convert to fraction form
    241,398/354,702 = 354,702/x
  3. Step 3: Cross multiply
    241,398x = 354,702 × 354,702
  4. Step 4: Simplify right side
    241,398x = 125,813,508,804
  5. Step 5: Solve for x
    x = 125,813,508,804/241,398
  6. Step 6: Final answer
    x = 521,187.04

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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.