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Finding the Third Proportional to 247,886 and 536,986

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Solution

The third proportional to 247,886 and 536,986 is: 1,163,252.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,886 : 536,986 = 536,986 : x
  2. Step 2: Convert to fraction form
    247,886/536,986 = 536,986/x
  3. Step 3: Cross multiply
    247,886x = 536,986 × 536,986
  4. Step 4: Simplify right side
    247,886x = 288,353,964,196
  5. Step 5: Solve for x
    x = 288,353,964,196/247,886
  6. Step 6: Final answer
    x = 1,163,252.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.