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Finding the Third Proportional to 370,277 and 560,609

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Solution

The third proportional to 370,277 and 560,609 is: 848,776.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,277 : 560,609 = 560,609 : x
  2. Step 2: Convert to fraction form
    370,277/560,609 = 560,609/x
  3. Step 3: Cross multiply
    370,277x = 560,609 × 560,609
  4. Step 4: Simplify right side
    370,277x = 314,282,450,881
  5. Step 5: Solve for x
    x = 314,282,450,881/370,277
  6. Step 6: Final answer
    x = 848,776.59

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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.