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Finding the Third Proportional to 239,788 and 504,248

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Solution

The third proportional to 239,788 and 504,248 is: 1,060,378.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,788 : 504,248 = 504,248 : x
  2. Step 2: Convert to fraction form
    239,788/504,248 = 504,248/x
  3. Step 3: Cross multiply
    239,788x = 504,248 × 504,248
  4. Step 4: Simplify right side
    239,788x = 254,266,045,504
  5. Step 5: Solve for x
    x = 254,266,045,504/239,788
  6. Step 6: Final answer
    x = 1,060,378.52

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.