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Finding the Third Proportional to 311,720 and 730,052

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Solution

The third proportional to 311,720 and 730,052 is: 1,709,790.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,720 : 730,052 = 730,052 : x
  2. Step 2: Convert to fraction form
    311,720/730,052 = 730,052/x
  3. Step 3: Cross multiply
    311,720x = 730,052 × 730,052
  4. Step 4: Simplify right side
    311,720x = 532,975,922,704
  5. Step 5: Solve for x
    x = 532,975,922,704/311,720
  6. Step 6: Final answer
    x = 1,709,790.59

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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.