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Finding the Third Proportional to 376,965 and 812,971

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Solution

The third proportional to 376,965 and 812,971 is: 1,753,271.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,965 : 812,971 = 812,971 : x
  2. Step 2: Convert to fraction form
    376,965/812,971 = 812,971/x
  3. Step 3: Cross multiply
    376,965x = 812,971 × 812,971
  4. Step 4: Simplify right side
    376,965x = 660,921,846,841
  5. Step 5: Solve for x
    x = 660,921,846,841/376,965
  6. Step 6: Final answer
    x = 1,753,271.12

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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.