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Finding the Third Proportional to 517,577.63 and 785,679.75

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Solution

The third proportional to 517,577.63 and 785,679.75 is: 1,192,657.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,577.63 : 785,679.75 = 785,679.75 : x
  2. Step 2: Convert to fraction form
    517,577.63/785,679.75 = 785,679.75/x
  3. Step 3: Cross multiply
    517,577.63x = 785,679.75 × 785,679.75
  4. Step 4: Simplify right side
    517,577.63x = 617,292,669,560.06
  5. Step 5: Solve for x
    x = 617,292,669,560.06/517,577.63
  6. Step 6: Final answer
    x = 1,192,657.18

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.