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Finding the Third Proportional to 210,900 and 497,838

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Solution

The third proportional to 210,900 and 497,838 is: 1,175,166.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,900 : 497,838 = 497,838 : x
  2. Step 2: Convert to fraction form
    210,900/497,838 = 497,838/x
  3. Step 3: Cross multiply
    210,900x = 497,838 × 497,838
  4. Step 4: Simplify right side
    210,900x = 247,842,674,244
  5. Step 5: Solve for x
    x = 247,842,674,244/210,900
  6. Step 6: Final answer
    x = 1,175,166.78

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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.