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Finding the Third Proportional to 377,772 and 570,296.25

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Solution

The third proportional to 377,772 and 570,296.25 is: 860,936.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,772 : 570,296.25 = 570,296.25 : x
  2. Step 2: Convert to fraction form
    377,772/570,296.25 = 570,296.25/x
  3. Step 3: Cross multiply
    377,772x = 570,296.25 × 570,296.25
  4. Step 4: Simplify right side
    377,772x = 325,237,812,764.06
  5. Step 5: Solve for x
    x = 325,237,812,764.06/377,772
  6. Step 6: Final answer
    x = 860,936.79

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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.