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Finding the Third Proportional to 333,396 and 718,895.25

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Solution

The third proportional to 333,396 and 718,895.25 is: 1,550,139.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,396 : 718,895.25 = 718,895.25 : x
  2. Step 2: Convert to fraction form
    333,396/718,895.25 = 718,895.25/x
  3. Step 3: Cross multiply
    333,396x = 718,895.25 × 718,895.25
  4. Step 4: Simplify right side
    333,396x = 516,810,380,472.56
  5. Step 5: Solve for x
    x = 516,810,380,472.56/333,396
  6. Step 6: Final answer
    x = 1,550,139.72

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.