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Finding the Third Proportional to 346,300.50 and 741,870

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Solution

The third proportional to 346,300.50 and 741,870 is: 1,589,287.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,300.50 : 741,870 = 741,870 : x
  2. Step 2: Convert to fraction form
    346,300.50/741,870 = 741,870/x
  3. Step 3: Cross multiply
    346,300.50x = 741,870 × 741,870
  4. Step 4: Simplify right side
    346,300.50x = 550,371,096,900
  5. Step 5: Solve for x
    x = 550,371,096,900/346,300.50
  6. Step 6: Final answer
    x = 1,589,287.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.