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Finding the Third Proportional to 241,648 and 545,964

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Solution

The third proportional to 241,648 and 545,964 is: 1,233,516.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,648 : 545,964 = 545,964 : x
  2. Step 2: Convert to fraction form
    241,648/545,964 = 545,964/x
  3. Step 3: Cross multiply
    241,648x = 545,964 × 545,964
  4. Step 4: Simplify right side
    241,648x = 298,076,689,296
  5. Step 5: Solve for x
    x = 298,076,689,296/241,648
  6. Step 6: Final answer
    x = 1,233,516.06

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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.