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Finding the Third Proportional to 333,402.75 and 718,908.75

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Solution

The third proportional to 333,402.75 and 718,908.75 is: 1,550,166.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,402.75 : 718,908.75 = 718,908.75 : x
  2. Step 2: Convert to fraction form
    333,402.75/718,908.75 = 718,908.75/x
  3. Step 3: Cross multiply
    333,402.75x = 718,908.75 × 718,908.75
  4. Step 4: Simplify right side
    333,402.75x = 516,829,790,826.56
  5. Step 5: Solve for x
    x = 516,829,790,826.56/333,402.75
  6. Step 6: Final answer
    x = 1,550,166.55

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Why These Related Problems?

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