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Finding the Third Proportional to 381,597.75 and 560,732.63

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Solution

The third proportional to 381,597.75 and 560,732.63 is: 823,959.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,597.75 : 560,732.63 = 560,732.63 : x
  2. Step 2: Convert to fraction form
    381,597.75/560,732.63 = 560,732.63/x
  3. Step 3: Cross multiply
    381,597.75x = 560,732.63 × 560,732.63
  4. Step 4: Simplify right side
    381,597.75x = 314,421,076,739.39
  5. Step 5: Solve for x
    x = 314,421,076,739.39/381,597.75
  6. Step 6: Final answer
    x = 823,959.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.