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Finding the Third Proportional to 255,790 and 538,094

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Solution

The third proportional to 255,790 and 538,094 is: 1,131,964.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,790 : 538,094 = 538,094 : x
  2. Step 2: Convert to fraction form
    255,790/538,094 = 538,094/x
  3. Step 3: Cross multiply
    255,790x = 538,094 × 538,094
  4. Step 4: Simplify right side
    255,790x = 289,545,152,836
  5. Step 5: Solve for x
    x = 289,545,152,836/255,790
  6. Step 6: Final answer
    x = 1,131,964.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.