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Finding the Third Proportional to 334,308.09 and 696,318.19

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Solution

The third proportional to 334,308.09 and 696,318.19 is: 1,450,335.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,308.09 : 696,318.19 = 696,318.19 : x
  2. Step 2: Convert to fraction form
    334,308.09/696,318.19 = 696,318.19/x
  3. Step 3: Cross multiply
    334,308.09x = 696,318.19 × 696,318.19
  4. Step 4: Simplify right side
    334,308.09x = 484,859,018,243.29
  5. Step 5: Solve for x
    x = 484,859,018,243.29/334,308.09
  6. Step 6: Final answer
    x = 1,450,335.86

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.