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Finding the Third Proportional to 384,077 and 581,421

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Solution

The third proportional to 384,077 and 581,421 is: 880,163.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,077 : 581,421 = 581,421 : x
  2. Step 2: Convert to fraction form
    384,077/581,421 = 581,421/x
  3. Step 3: Cross multiply
    384,077x = 581,421 × 581,421
  4. Step 4: Simplify right side
    384,077x = 338,050,379,241
  5. Step 5: Solve for x
    x = 338,050,379,241/384,077
  6. Step 6: Final answer
    x = 880,163.04

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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.