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Finding the Third Proportional to 375,920 and 810,944

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Solution

The third proportional to 375,920 and 810,944 is: 1,749,388.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,920 : 810,944 = 810,944 : x
  2. Step 2: Convert to fraction form
    375,920/810,944 = 810,944/x
  3. Step 3: Cross multiply
    375,920x = 810,944 × 810,944
  4. Step 4: Simplify right side
    375,920x = 657,630,171,136
  5. Step 5: Solve for x
    x = 657,630,171,136/375,920
  6. Step 6: Final answer
    x = 1,749,388.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.