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Finding the Third Proportional to 377,275 and 570,790

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Solution

The third proportional to 377,275 and 570,790 is: 863,564.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,275 : 570,790 = 570,790 : x
  2. Step 2: Convert to fraction form
    377,275/570,790 = 570,790/x
  3. Step 3: Cross multiply
    377,275x = 570,790 × 570,790
  4. Step 4: Simplify right side
    377,275x = 325,801,224,100
  5. Step 5: Solve for x
    x = 325,801,224,100/377,275
  6. Step 6: Final answer
    x = 863,564.31

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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.