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Finding the Third Proportional to 395,919 and 537,904

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Solution

The third proportional to 395,919 and 537,904 is: 730,807.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,919 : 537,904 = 537,904 : x
  2. Step 2: Convert to fraction form
    395,919/537,904 = 537,904/x
  3. Step 3: Cross multiply
    395,919x = 537,904 × 537,904
  4. Step 4: Simplify right side
    395,919x = 289,340,713,216
  5. Step 5: Solve for x
    x = 289,340,713,216/395,919
  6. Step 6: Final answer
    x = 730,807.85

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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.