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Finding the Third Proportional to 259,392 and 476,160

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Solution

The third proportional to 259,392 and 476,160 is: 874,076.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,392 : 476,160 = 476,160 : x
  2. Step 2: Convert to fraction form
    259,392/476,160 = 476,160/x
  3. Step 3: Cross multiply
    259,392x = 476,160 × 476,160
  4. Step 4: Simplify right side
    259,392x = 226,728,345,600
  5. Step 5: Solve for x
    x = 226,728,345,600/259,392
  6. Step 6: Final answer
    x = 874,076.09

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.