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Finding the Third Proportional to 311,722 and 730,057

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Solution

The third proportional to 311,722 and 730,057 is: 1,709,803.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,722 : 730,057 = 730,057 : x
  2. Step 2: Convert to fraction form
    311,722/730,057 = 730,057/x
  3. Step 3: Cross multiply
    311,722x = 730,057 × 730,057
  4. Step 4: Simplify right side
    311,722x = 532,983,223,249
  5. Step 5: Solve for x
    x = 532,983,223,249/311,722
  6. Step 6: Final answer
    x = 1,709,803.04

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.