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Finding the Third Proportional to 363,305.25 and 567,032.63

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Solution

The third proportional to 363,305.25 and 567,032.63 is: 885,002.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,305.25 : 567,032.63 = 567,032.63 : x
  2. Step 2: Convert to fraction form
    363,305.25/567,032.63 = 567,032.63/x
  3. Step 3: Cross multiply
    363,305.25x = 567,032.63 × 567,032.63
  4. Step 4: Simplify right side
    363,305.25x = 321,525,997,814.39
  5. Step 5: Solve for x
    x = 321,525,997,814.39/363,305.25
  6. Step 6: Final answer
    x = 885,002.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.