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Finding the Third Proportional to 369,930 and 560,259

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Solution

The third proportional to 369,930 and 560,259 is: 848,512.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,930 : 560,259 = 560,259 : x
  2. Step 2: Convert to fraction form
    369,930/560,259 = 560,259/x
  3. Step 3: Cross multiply
    369,930x = 560,259 × 560,259
  4. Step 4: Simplify right side
    369,930x = 313,890,147,081
  5. Step 5: Solve for x
    x = 313,890,147,081/369,930
  6. Step 6: Final answer
    x = 848,512.28

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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.