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Finding the Third Proportional to 233,610 and 365,986

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Solution

The third proportional to 233,610 and 365,986 is: 573,373.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,610 : 365,986 = 365,986 : x
  2. Step 2: Convert to fraction form
    233,610/365,986 = 365,986/x
  3. Step 3: Cross multiply
    233,610x = 365,986 × 365,986
  4. Step 4: Simplify right side
    233,610x = 133,945,752,196
  5. Step 5: Solve for x
    x = 133,945,752,196/233,610
  6. Step 6: Final answer
    x = 573,373.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.