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Finding the Third Proportional to 622,356 and 851,734.50

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Solution

The third proportional to 622,356 and 851,734.50 is: 1,165,653.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,356 : 851,734.50 = 851,734.50 : x
  2. Step 2: Convert to fraction form
    622,356/851,734.50 = 851,734.50/x
  3. Step 3: Cross multiply
    622,356x = 851,734.50 × 851,734.50
  4. Step 4: Simplify right side
    622,356x = 725,451,658,490.25
  5. Step 5: Solve for x
    x = 725,451,658,490.25/622,356
  6. Step 6: Final answer
    x = 1,165,653.84

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.