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Finding the Third Proportional to 248,630.63 and 382,384.69

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Solution

The third proportional to 248,630.63 and 382,384.69 is: 588,093.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,630.63 : 382,384.69 = 382,384.69 : x
  2. Step 2: Convert to fraction form
    248,630.63/382,384.69 = 382,384.69/x
  3. Step 3: Cross multiply
    248,630.63x = 382,384.69 × 382,384.69
  4. Step 4: Simplify right side
    248,630.63x = 146,218,049,234.47
  5. Step 5: Solve for x
    x = 146,218,049,234.47/248,630.63
  6. Step 6: Final answer
    x = 588,093.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.