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Finding the Third Proportional to 538,086 and 808,405.50

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Solution

The third proportional to 538,086 and 808,405.50 is: 1,214,526.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,086 : 808,405.50 = 808,405.50 : x
  2. Step 2: Convert to fraction form
    538,086/808,405.50 = 808,405.50/x
  3. Step 3: Cross multiply
    538,086x = 808,405.50 × 808,405.50
  4. Step 4: Simplify right side
    538,086x = 653,519,452,430.25
  5. Step 5: Solve for x
    x = 653,519,452,430.25/538,086
  6. Step 6: Final answer
    x = 1,214,526.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.