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Finding the Third Proportional to 351,945.56 and 773,875.13

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Solution

The third proportional to 351,945.56 and 773,875.13 is: 1,701,634.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,945.56 : 773,875.13 = 773,875.13 : x
  2. Step 2: Convert to fraction form
    351,945.56/773,875.13 = 773,875.13/x
  3. Step 3: Cross multiply
    351,945.56x = 773,875.13 × 773,875.13
  4. Step 4: Simplify right side
    351,945.56x = 598,882,709,093.77
  5. Step 5: Solve for x
    x = 598,882,709,093.77/351,945.56
  6. Step 6: Final answer
    x = 1,701,634.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.