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Finding the Third Proportional to 354,135.80 and 773,100.07

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Solution

The third proportional to 354,135.80 and 773,100.07 is: 1,687,724.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,135.80 : 773,100.07 = 773,100.07 : x
  2. Step 2: Convert to fraction form
    354,135.80/773,100.07 = 773,100.07/x
  3. Step 3: Cross multiply
    354,135.80x = 773,100.07 × 773,100.07
  4. Step 4: Simplify right side
    354,135.80x = 597,683,718,717.19
  5. Step 5: Solve for x
    x = 597,683,718,717.19/354,135.80
  6. Step 6: Final answer
    x = 1,687,724.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.