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Finding the Third Proportional to 210,789 and 456,849

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Solution

The third proportional to 210,789 and 456,849 is: 990,141.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,789 : 456,849 = 456,849 : x
  2. Step 2: Convert to fraction form
    210,789/456,849 = 456,849/x
  3. Step 3: Cross multiply
    210,789x = 456,849 × 456,849
  4. Step 4: Simplify right side
    210,789x = 208,711,008,801
  5. Step 5: Solve for x
    x = 208,711,008,801/210,789
  6. Step 6: Final answer
    x = 990,141.84

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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.