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Finding the Third Proportional to 233,268.75 and 491,445

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Solution

The third proportional to 233,268.75 and 491,445 is: 1,035,364.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,268.75 : 491,445 = 491,445 : x
  2. Step 2: Convert to fraction form
    233,268.75/491,445 = 491,445/x
  3. Step 3: Cross multiply
    233,268.75x = 491,445 × 491,445
  4. Step 4: Simplify right side
    233,268.75x = 241,518,188,025
  5. Step 5: Solve for x
    x = 241,518,188,025/233,268.75
  6. Step 6: Final answer
    x = 1,035,364.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.