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Finding the Third Proportional to 247,910 and 537,036

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Solution

The third proportional to 247,910 and 537,036 is: 1,163,356.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,910 : 537,036 = 537,036 : x
  2. Step 2: Convert to fraction form
    247,910/537,036 = 537,036/x
  3. Step 3: Cross multiply
    247,910x = 537,036 × 537,036
  4. Step 4: Simplify right side
    247,910x = 288,407,665,296
  5. Step 5: Solve for x
    x = 288,407,665,296/247,910
  6. Step 6: Final answer
    x = 1,163,356.32

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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.