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Finding the Third Proportional to 376,964 and 819,352

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Solution

The third proportional to 376,964 and 819,352 is: 1,780,906.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,964 : 819,352 = 819,352 : x
  2. Step 2: Convert to fraction form
    376,964/819,352 = 819,352/x
  3. Step 3: Cross multiply
    376,964x = 819,352 × 819,352
  4. Step 4: Simplify right side
    376,964x = 671,337,699,904
  5. Step 5: Solve for x
    x = 671,337,699,904/376,964
  6. Step 6: Final answer
    x = 1,780,906.66

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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.