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Finding the Third Proportional to 277,111.13 and 405,794.81

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Solution

The third proportional to 277,111.13 and 405,794.81 is: 594,236.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,111.13 : 405,794.81 = 405,794.81 : x
  2. Step 2: Convert to fraction form
    277,111.13/405,794.81 = 405,794.81/x
  3. Step 3: Cross multiply
    277,111.13x = 405,794.81 × 405,794.81
  4. Step 4: Simplify right side
    277,111.13x = 164,669,429,851.91
  5. Step 5: Solve for x
    x = 164,669,429,851.91/277,111.13
  6. Step 6: Final answer
    x = 594,236.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.