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Finding the Third Proportional to 369,556 and 557,662

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Solution

The third proportional to 369,556 and 557,662 is: 841,514.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,556 : 557,662 = 557,662 : x
  2. Step 2: Convert to fraction form
    369,556/557,662 = 557,662/x
  3. Step 3: Cross multiply
    369,556x = 557,662 × 557,662
  4. Step 4: Simplify right side
    369,556x = 310,986,906,244
  5. Step 5: Solve for x
    x = 310,986,906,244/369,556
  6. Step 6: Final answer
    x = 841,514.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.