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Finding the Third Proportional to 582,269.63 and 1,267,054.88

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Solution

The third proportional to 582,269.63 and 1,267,054.88 is: 2,757,190.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,269.63 : 1,267,054.88 = 1,267,054.88 : x
  2. Step 2: Convert to fraction form
    582,269.63/1,267,054.88 = 1,267,054.88/x
  3. Step 3: Cross multiply
    582,269.63x = 1,267,054.88 × 1,267,054.88
  4. Step 4: Simplify right side
    582,269.63x = 1,605,428,056,261.27
  5. Step 5: Solve for x
    x = 1,605,428,056,261.27/582,269.63
  6. Step 6: Final answer
    x = 2,757,190.12

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.