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Finding the Third Proportional to 245,351 and 378,881

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Solution

The third proportional to 245,351 and 378,881 is: 585,083.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,351 : 378,881 = 378,881 : x
  2. Step 2: Convert to fraction form
    245,351/378,881 = 378,881/x
  3. Step 3: Cross multiply
    245,351x = 378,881 × 378,881
  4. Step 4: Simplify right side
    245,351x = 143,550,812,161
  5. Step 5: Solve for x
    x = 143,550,812,161/245,351
  6. Step 6: Final answer
    x = 585,083.46

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.