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Finding the Third Proportional to 233,592 and 360,895

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Solution

The third proportional to 233,592 and 360,895 is: 557,575.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,592 : 360,895 = 360,895 : x
  2. Step 2: Convert to fraction form
    233,592/360,895 = 360,895/x
  3. Step 3: Cross multiply
    233,592x = 360,895 × 360,895
  4. Step 4: Simplify right side
    233,592x = 130,245,201,025
  5. Step 5: Solve for x
    x = 130,245,201,025/233,592
  6. Step 6: Final answer
    x = 557,575.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.