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Finding the Third Proportional to 367,039 and 534,580

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Solution

The third proportional to 367,039 and 534,580 is: 778,597.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,039 : 534,580 = 534,580 : x
  2. Step 2: Convert to fraction form
    367,039/534,580 = 534,580/x
  3. Step 3: Cross multiply
    367,039x = 534,580 × 534,580
  4. Step 4: Simplify right side
    367,039x = 285,775,776,400
  5. Step 5: Solve for x
    x = 285,775,776,400/367,039
  6. Step 6: Final answer
    x = 778,597.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.