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Finding the Third Proportional to 351,381 and 772,733

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Solution

The third proportional to 351,381 and 772,733 is: 1,699,341.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,381 : 772,733 = 772,733 : x
  2. Step 2: Convert to fraction form
    351,381/772,733 = 772,733/x
  3. Step 3: Cross multiply
    351,381x = 772,733 × 772,733
  4. Step 4: Simplify right side
    351,381x = 597,116,289,289
  5. Step 5: Solve for x
    x = 597,116,289,289/351,381
  6. Step 6: Final answer
    x = 1,699,341.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.