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Finding the Third Proportional to 373,984 and 810,660

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Solution

The third proportional to 373,984 and 810,660 is: 1,757,213.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,984 : 810,660 = 810,660 : x
  2. Step 2: Convert to fraction form
    373,984/810,660 = 810,660/x
  3. Step 3: Cross multiply
    373,984x = 810,660 × 810,660
  4. Step 4: Simplify right side
    373,984x = 657,169,635,600
  5. Step 5: Solve for x
    x = 657,169,635,600/373,984
  6. Step 6: Final answer
    x = 1,757,213.24

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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.