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Finding the Third Proportional to 432,573.33 and 931,707.56

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Solution

The third proportional to 432,573.33 and 931,707.56 is: 2,006,778.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,573.33 : 931,707.56 = 931,707.56 : x
  2. Step 2: Convert to fraction form
    432,573.33/931,707.56 = 931,707.56/x
  3. Step 3: Cross multiply
    432,573.33x = 931,707.56 × 931,707.56
  4. Step 4: Simplify right side
    432,573.33x = 868,078,982,019.69
  5. Step 5: Solve for x
    x = 868,078,982,019.69/432,573.33
  6. Step 6: Final answer
    x = 2,006,778.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.