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Finding the Third Proportional to 467,906.63 and 698,741.44

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Solution

The third proportional to 467,906.63 and 698,741.44 is: 1,043,455.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,906.63 : 698,741.44 = 698,741.44 : x
  2. Step 2: Convert to fraction form
    467,906.63/698,741.44 = 698,741.44/x
  3. Step 3: Cross multiply
    467,906.63x = 698,741.44 × 698,741.44
  4. Step 4: Simplify right side
    467,906.63x = 488,239,596,479.57
  5. Step 5: Solve for x
    x = 488,239,596,479.57/467,906.63
  6. Step 6: Final answer
    x = 1,043,455.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.