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Finding the Third Proportional to 210,654 and 467,964

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Solution

The third proportional to 210,654 and 467,964 is: 1,039,573.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,654 : 467,964 = 467,964 : x
  2. Step 2: Convert to fraction form
    210,654/467,964 = 467,964/x
  3. Step 3: Cross multiply
    210,654x = 467,964 × 467,964
  4. Step 4: Simplify right side
    210,654x = 218,990,305,296
  5. Step 5: Solve for x
    x = 218,990,305,296/210,654
  6. Step 6: Final answer
    x = 1,039,573.45

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.