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Finding the Third Proportional to 377,757 and 570,273.75

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Solution

The third proportional to 377,757 and 570,273.75 is: 860,903.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,757 : 570,273.75 = 570,273.75 : x
  2. Step 2: Convert to fraction form
    377,757/570,273.75 = 570,273.75/x
  3. Step 3: Cross multiply
    377,757x = 570,273.75 × 570,273.75
  4. Step 4: Simplify right side
    377,757x = 325,212,149,939.06
  5. Step 5: Solve for x
    x = 325,212,149,939.06/377,757
  6. Step 6: Final answer
    x = 860,903.04

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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.