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Finding the Third Proportional to 276,377.63 and 585,968.63

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Solution

The third proportional to 276,377.63 and 585,968.63 is: 1,242,355.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,377.63 : 585,968.63 = 585,968.63 : x
  2. Step 2: Convert to fraction form
    276,377.63/585,968.63 = 585,968.63/x
  3. Step 3: Cross multiply
    276,377.63x = 585,968.63 × 585,968.63
  4. Step 4: Simplify right side
    276,377.63x = 343,359,229,484.39
  5. Step 5: Solve for x
    x = 343,359,229,484.39/276,377.63
  6. Step 6: Final answer
    x = 1,242,355.38

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.