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Finding the Third Proportional to 535,811.63 and 727,692.19

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Solution

The third proportional to 535,811.63 and 727,692.19 is: 988,287.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,811.63 : 727,692.19 = 727,692.19 : x
  2. Step 2: Convert to fraction form
    535,811.63/727,692.19 = 727,692.19/x
  3. Step 3: Cross multiply
    535,811.63x = 727,692.19 × 727,692.19
  4. Step 4: Simplify right side
    535,811.63x = 529,535,919,748.54
  5. Step 5: Solve for x
    x = 529,535,919,748.54/535,811.63
  6. Step 6: Final answer
    x = 988,287.48

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.