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Finding the Third Proportional to 354,472.50 and 777,831

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Solution

The third proportional to 354,472.50 and 777,831 is: 1,706,820.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,472.50 : 777,831 = 777,831 : x
  2. Step 2: Convert to fraction form
    354,472.50/777,831 = 777,831/x
  3. Step 3: Cross multiply
    354,472.50x = 777,831 × 777,831
  4. Step 4: Simplify right side
    354,472.50x = 605,021,064,561
  5. Step 5: Solve for x
    x = 605,021,064,561/354,472.50
  6. Step 6: Final answer
    x = 1,706,820.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.