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Finding the Third Proportional to 259,047 and 557,460

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Solution

The third proportional to 259,047 and 557,460 is: 1,199,634.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,047 : 557,460 = 557,460 : x
  2. Step 2: Convert to fraction form
    259,047/557,460 = 557,460/x
  3. Step 3: Cross multiply
    259,047x = 557,460 × 557,460
  4. Step 4: Simplify right side
    259,047x = 310,761,651,600
  5. Step 5: Solve for x
    x = 310,761,651,600/259,047
  6. Step 6: Final answer
    x = 1,199,634.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.