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Finding the Third Proportional to 352,608.75 and 772,818.75

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Solution

The third proportional to 352,608.75 and 772,818.75 is: 1,693,800.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,608.75 : 772,818.75 = 772,818.75 : x
  2. Step 2: Convert to fraction form
    352,608.75/772,818.75 = 772,818.75/x
  3. Step 3: Cross multiply
    352,608.75x = 772,818.75 × 772,818.75
  4. Step 4: Simplify right side
    352,608.75x = 597,248,820,351.56
  5. Step 5: Solve for x
    x = 597,248,820,351.56/352,608.75
  6. Step 6: Final answer
    x = 1,693,800.34

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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.