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Finding the Third Proportional to 431,976 and 608,050.50

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Solution

The third proportional to 431,976 and 608,050.50 is: 855,893.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,976 : 608,050.50 = 608,050.50 : x
  2. Step 2: Convert to fraction form
    431,976/608,050.50 = 608,050.50/x
  3. Step 3: Cross multiply
    431,976x = 608,050.50 × 608,050.50
  4. Step 4: Simplify right side
    431,976x = 369,725,410,550.25
  5. Step 5: Solve for x
    x = 369,725,410,550.25/431,976
  6. Step 6: Final answer
    x = 855,893.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.