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Finding the Third Proportional to 395,967 and 537,969

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Solution

The third proportional to 395,967 and 537,969 is: 730,895.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,967 : 537,969 = 537,969 : x
  2. Step 2: Convert to fraction form
    395,967/537,969 = 537,969/x
  3. Step 3: Cross multiply
    395,967x = 537,969 × 537,969
  4. Step 4: Simplify right side
    395,967x = 289,410,644,961
  5. Step 5: Solve for x
    x = 289,410,644,961/395,967
  6. Step 6: Final answer
    x = 730,895.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.