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Finding the Third Proportional to 210,504 and 333,288

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Solution

The third proportional to 210,504 and 333,288 is: 527,690.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,504 : 333,288 = 333,288 : x
  2. Step 2: Convert to fraction form
    210,504/333,288 = 333,288/x
  3. Step 3: Cross multiply
    210,504x = 333,288 × 333,288
  4. Step 4: Simplify right side
    210,504x = 111,080,890,944
  5. Step 5: Solve for x
    x = 111,080,890,944/210,504
  6. Step 6: Final answer
    x = 527,690.17

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.