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Finding the Third Proportional to 333,354 and 718,830.75

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Solution

The third proportional to 333,354 and 718,830.75 is: 1,550,056.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,354 : 718,830.75 = 718,830.75 : x
  2. Step 2: Convert to fraction form
    333,354/718,830.75 = 718,830.75/x
  3. Step 3: Cross multiply
    333,354x = 718,830.75 × 718,830.75
  4. Step 4: Simplify right side
    333,354x = 516,717,647,145.56
  5. Step 5: Solve for x
    x = 516,717,647,145.56/333,354
  6. Step 6: Final answer
    x = 1,550,056.84

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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.