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Finding the Third Proportional to 358,758 and 754,694

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Solution

The third proportional to 358,758 and 754,694 is: 1,587,596.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,758 : 754,694 = 754,694 : x
  2. Step 2: Convert to fraction form
    358,758/754,694 = 754,694/x
  3. Step 3: Cross multiply
    358,758x = 754,694 × 754,694
  4. Step 4: Simplify right side
    358,758x = 569,563,033,636
  5. Step 5: Solve for x
    x = 569,563,033,636/358,758
  6. Step 6: Final answer
    x = 1,587,596.75

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.