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Finding the Third Proportional to 241,644 and 545,955

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Solution

The third proportional to 241,644 and 545,955 is: 1,233,495.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,644 : 545,955 = 545,955 : x
  2. Step 2: Convert to fraction form
    241,644/545,955 = 545,955/x
  3. Step 3: Cross multiply
    241,644x = 545,955 × 545,955
  4. Step 4: Simplify right side
    241,644x = 298,066,862,025
  5. Step 5: Solve for x
    x = 298,066,862,025/241,644
  6. Step 6: Final answer
    x = 1,233,495.81

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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.