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Finding the Third Proportional to 363,255 and 566,961

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Solution

The third proportional to 363,255 and 566,961 is: 884,901.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,255 : 566,961 = 566,961 : x
  2. Step 2: Convert to fraction form
    363,255/566,961 = 566,961/x
  3. Step 3: Cross multiply
    363,255x = 566,961 × 566,961
  4. Step 4: Simplify right side
    363,255x = 321,444,775,521
  5. Step 5: Solve for x
    x = 321,444,775,521/363,255
  6. Step 6: Final answer
    x = 884,901.17

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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.