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Finding the Third Proportional to 261,322 and 554,044

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Solution

The third proportional to 261,322 and 554,044 is: 1,174,660.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,322 : 554,044 = 554,044 : x
  2. Step 2: Convert to fraction form
    261,322/554,044 = 554,044/x
  3. Step 3: Cross multiply
    261,322x = 554,044 × 554,044
  4. Step 4: Simplify right side
    261,322x = 306,964,753,936
  5. Step 5: Solve for x
    x = 306,964,753,936/261,322
  6. Step 6: Final answer
    x = 1,174,660.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.