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Finding the Third Proportional to 377,784 and 570,313.50

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Solution

The third proportional to 377,784 and 570,313.50 is: 860,961.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,784 : 570,313.50 = 570,313.50 : x
  2. Step 2: Convert to fraction form
    377,784/570,313.50 = 570,313.50/x
  3. Step 3: Cross multiply
    377,784x = 570,313.50 × 570,313.50
  4. Step 4: Simplify right side
    377,784x = 325,257,488,282.25
  5. Step 5: Solve for x
    x = 325,257,488,282.25/377,784
  6. Step 6: Final answer
    x = 860,961.52

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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.