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Finding the Third Proportional to 538,873.50 and 749,260.50

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Solution

The third proportional to 538,873.50 and 749,260.50 is: 1,041,786.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,873.50 : 749,260.50 = 749,260.50 : x
  2. Step 2: Convert to fraction form
    538,873.50/749,260.50 = 749,260.50/x
  3. Step 3: Cross multiply
    538,873.50x = 749,260.50 × 749,260.50
  4. Step 4: Simplify right side
    538,873.50x = 561,391,296,860.25
  5. Step 5: Solve for x
    x = 561,391,296,860.25/538,873.50
  6. Step 6: Final answer
    x = 1,041,786.80

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.