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Finding the Third Proportional to 351,456 and 766,536

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Solution

The third proportional to 351,456 and 766,536 is: 1,671,837.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,456 : 766,536 = 766,536 : x
  2. Step 2: Convert to fraction form
    351,456/766,536 = 766,536/x
  3. Step 3: Cross multiply
    351,456x = 766,536 × 766,536
  4. Step 4: Simplify right side
    351,456x = 587,577,439,296
  5. Step 5: Solve for x
    x = 587,577,439,296/351,456
  6. Step 6: Final answer
    x = 1,671,837.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.