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Finding the Third Proportional to 373,492.69 and 810,317.25

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Solution

The third proportional to 373,492.69 and 810,317.25 is: 1,758,037.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,492.69 : 810,317.25 = 810,317.25 : x
  2. Step 2: Convert to fraction form
    373,492.69/810,317.25 = 810,317.25/x
  3. Step 3: Cross multiply
    373,492.69x = 810,317.25 × 810,317.25
  4. Step 4: Simplify right side
    373,492.69x = 656,614,045,647.56
  5. Step 5: Solve for x
    x = 656,614,045,647.56/373,492.69
  6. Step 6: Final answer
    x = 1,758,037.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.