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Finding the Third Proportional to 363,323 and 567,057

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Solution

The third proportional to 363,323 and 567,057 is: 885,035.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,323 : 567,057 = 567,057 : x
  2. Step 2: Convert to fraction form
    363,323/567,057 = 567,057/x
  3. Step 3: Cross multiply
    363,323x = 567,057 × 567,057
  4. Step 4: Simplify right side
    363,323x = 321,553,641,249
  5. Step 5: Solve for x
    x = 321,553,641,249/363,323
  6. Step 6: Final answer
    x = 885,035.19

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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.