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Finding the Third Proportional to 233,171 and 502,020

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Solution

The third proportional to 233,171 and 502,020 is: 1,080,855.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,171 : 502,020 = 502,020 : x
  2. Step 2: Convert to fraction form
    233,171/502,020 = 502,020/x
  3. Step 3: Cross multiply
    233,171x = 502,020 × 502,020
  4. Step 4: Simplify right side
    233,171x = 252,024,080,400
  5. Step 5: Solve for x
    x = 252,024,080,400/233,171
  6. Step 6: Final answer
    x = 1,080,855.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.