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Finding the Third Proportional to 238,832 and 503,584

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Solution

The third proportional to 238,832 and 503,584 is: 1,061,821.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,832 : 503,584 = 503,584 : x
  2. Step 2: Convert to fraction form
    238,832/503,584 = 503,584/x
  3. Step 3: Cross multiply
    238,832x = 503,584 × 503,584
  4. Step 4: Simplify right side
    238,832x = 253,596,845,056
  5. Step 5: Solve for x
    x = 253,596,845,056/238,832
  6. Step 6: Final answer
    x = 1,061,821.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.