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Finding the Third Proportional to 362,980 and 560,778

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Solution

The third proportional to 362,980 and 560,778 is: 866,361.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,980 : 560,778 = 560,778 : x
  2. Step 2: Convert to fraction form
    362,980/560,778 = 560,778/x
  3. Step 3: Cross multiply
    362,980x = 560,778 × 560,778
  4. Step 4: Simplify right side
    362,980x = 314,471,965,284
  5. Step 5: Solve for x
    x = 314,471,965,284/362,980
  6. Step 6: Final answer
    x = 866,361.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.