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Finding the Third Proportional to 264,778 and 370,383

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Solution

The third proportional to 264,778 and 370,383 is: 518,107.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,778 : 370,383 = 370,383 : x
  2. Step 2: Convert to fraction form
    264,778/370,383 = 370,383/x
  3. Step 3: Cross multiply
    264,778x = 370,383 × 370,383
  4. Step 4: Simplify right side
    264,778x = 137,183,566,689
  5. Step 5: Solve for x
    x = 137,183,566,689/264,778
  6. Step 6: Final answer
    x = 518,107.87

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.