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Finding the Third Proportional to 214,988 and 502,032

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Solution

The third proportional to 214,988 and 502,032 is: 1,172,326.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,988 : 502,032 = 502,032 : x
  2. Step 2: Convert to fraction form
    214,988/502,032 = 502,032/x
  3. Step 3: Cross multiply
    214,988x = 502,032 × 502,032
  4. Step 4: Simplify right side
    214,988x = 252,036,129,024
  5. Step 5: Solve for x
    x = 252,036,129,024/214,988
  6. Step 6: Final answer
    x = 1,172,326.50

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.