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Finding the Third Proportional to 377,786 and 570,317

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Solution

The third proportional to 377,786 and 570,317 is: 860,967.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,786 : 570,317 = 570,317 : x
  2. Step 2: Convert to fraction form
    377,786/570,317 = 570,317/x
  3. Step 3: Cross multiply
    377,786x = 570,317 × 570,317
  4. Step 4: Simplify right side
    377,786x = 325,261,480,489
  5. Step 5: Solve for x
    x = 325,261,480,489/377,786
  6. Step 6: Final answer
    x = 860,967.53

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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.