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Finding the Third Proportional to 277,475.63 and 597,035.81

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Solution

The third proportional to 277,475.63 and 597,035.81 is: 1,284,623.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,475.63 : 597,035.81 = 597,035.81 : x
  2. Step 2: Convert to fraction form
    277,475.63/597,035.81 = 597,035.81/x
  3. Step 3: Cross multiply
    277,475.63x = 597,035.81 × 597,035.81
  4. Step 4: Simplify right side
    277,475.63x = 356,451,761,407.54
  5. Step 5: Solve for x
    x = 356,451,761,407.54/277,475.63
  6. Step 6: Final answer
    x = 1,284,623.69

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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.