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Finding the Third Proportional to 349,769 and 766,219

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Solution

The third proportional to 349,769 and 766,219 is: 1,678,512.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,769 : 766,219 = 766,219 : x
  2. Step 2: Convert to fraction form
    349,769/766,219 = 766,219/x
  3. Step 3: Cross multiply
    349,769x = 766,219 × 766,219
  4. Step 4: Simplify right side
    349,769x = 587,091,555,961
  5. Step 5: Solve for x
    x = 587,091,555,961/349,769
  6. Step 6: Final answer
    x = 1,678,512.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.