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Finding the Third Proportional to 257,922 and 547,164

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Solution

The third proportional to 257,922 and 547,164 is: 1,160,771.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,922 : 547,164 = 547,164 : x
  2. Step 2: Convert to fraction form
    257,922/547,164 = 547,164/x
  3. Step 3: Cross multiply
    257,922x = 547,164 × 547,164
  4. Step 4: Simplify right side
    257,922x = 299,388,442,896
  5. Step 5: Solve for x
    x = 299,388,442,896/257,922
  6. Step 6: Final answer
    x = 1,160,771.25

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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.