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Finding the Third Proportional to 210,892 and 497,818

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Solution

The third proportional to 210,892 and 497,818 is: 1,175,116.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,892 : 497,818 = 497,818 : x
  2. Step 2: Convert to fraction form
    210,892/497,818 = 497,818/x
  3. Step 3: Cross multiply
    210,892x = 497,818 × 497,818
  4. Step 4: Simplify right side
    210,892x = 247,822,761,124
  5. Step 5: Solve for x
    x = 247,822,761,124/210,892
  6. Step 6: Final answer
    x = 1,175,116.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.