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Finding the Third Proportional to 343,866 and 746,809.50

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Solution

The third proportional to 343,866 and 746,809.50 is: 1,621,923.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,866 : 746,809.50 = 746,809.50 : x
  2. Step 2: Convert to fraction form
    343,866/746,809.50 = 746,809.50/x
  3. Step 3: Cross multiply
    343,866x = 746,809.50 × 746,809.50
  4. Step 4: Simplify right side
    343,866x = 557,724,429,290.25
  5. Step 5: Solve for x
    x = 557,724,429,290.25/343,866
  6. Step 6: Final answer
    x = 1,621,923.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.