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Finding the Third Proportional to 444,378 and 715,595

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Solution

The third proportional to 444,378 and 715,595 is: 1,152,343.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,378 : 715,595 = 715,595 : x
  2. Step 2: Convert to fraction form
    444,378/715,595 = 715,595/x
  3. Step 3: Cross multiply
    444,378x = 715,595 × 715,595
  4. Step 4: Simplify right side
    444,378x = 512,076,204,025
  5. Step 5: Solve for x
    x = 512,076,204,025/444,378
  6. Step 6: Final answer
    x = 1,152,343.73

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.