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Finding the Third Proportional to 370,282 and 560,616

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Solution

The third proportional to 370,282 and 560,616 is: 848,786.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,282 : 560,616 = 560,616 : x
  2. Step 2: Convert to fraction form
    370,282/560,616 = 560,616/x
  3. Step 3: Cross multiply
    370,282x = 560,616 × 560,616
  4. Step 4: Simplify right side
    370,282x = 314,290,299,456
  5. Step 5: Solve for x
    x = 314,290,299,456/370,282
  6. Step 6: Final answer
    x = 848,786.33

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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.