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Finding the Third Proportional to 405,102.83 and 873,009.77

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Solution

The third proportional to 405,102.83 and 873,009.77 is: 1,881,364.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,102.83 : 873,009.77 = 873,009.77 : x
  2. Step 2: Convert to fraction form
    405,102.83/873,009.77 = 873,009.77/x
  3. Step 3: Cross multiply
    405,102.83x = 873,009.77 × 873,009.77
  4. Step 4: Simplify right side
    405,102.83x = 762,146,064,517.40
  5. Step 5: Solve for x
    x = 762,146,064,517.40/405,102.83
  6. Step 6: Final answer
    x = 1,881,364.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.