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Finding the Third Proportional to 241,585.88 and 545,805

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Solution

The third proportional to 241,585.88 and 545,805 is: 1,233,114.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,585.88 : 545,805 = 545,805 : x
  2. Step 2: Convert to fraction form
    241,585.88/545,805 = 545,805/x
  3. Step 3: Cross multiply
    241,585.88x = 545,805 × 545,805
  4. Step 4: Simplify right side
    241,585.88x = 297,903,098,025
  5. Step 5: Solve for x
    x = 297,903,098,025/241,585.88
  6. Step 6: Final answer
    x = 1,233,114.72

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.