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Finding the Third Proportional to 538,385.63 and 834,046.88

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Solution

The third proportional to 538,385.63 and 834,046.88 is: 1,292,074.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,385.63 : 834,046.88 = 834,046.88 : x
  2. Step 2: Convert to fraction form
    538,385.63/834,046.88 = 834,046.88/x
  3. Step 3: Cross multiply
    538,385.63x = 834,046.88 × 834,046.88
  4. Step 4: Simplify right side
    538,385.63x = 695,634,189,697.27
  5. Step 5: Solve for x
    x = 695,634,189,697.27/538,385.63
  6. Step 6: Final answer
    x = 1,292,074.23

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.