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Finding the Third Proportional to 277,102.13 and 595,643.63

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Solution

The third proportional to 277,102.13 and 595,643.63 is: 1,280,363.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,102.13 : 595,643.63 = 595,643.63 : x
  2. Step 2: Convert to fraction form
    277,102.13/595,643.63 = 595,643.63/x
  3. Step 3: Cross multiply
    277,102.13x = 595,643.63 × 595,643.63
  4. Step 4: Simplify right side
    277,102.13x = 354,791,328,003.14
  5. Step 5: Solve for x
    x = 354,791,328,003.14/277,102.13
  6. Step 6: Final answer
    x = 1,280,363.07

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.