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Finding the Third Proportional to 349,824 and 766,896

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Solution

The third proportional to 349,824 and 766,896 is: 1,681,215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,824 : 766,896 = 766,896 : x
  2. Step 2: Convert to fraction form
    349,824/766,896 = 766,896/x
  3. Step 3: Cross multiply
    349,824x = 766,896 × 766,896
  4. Step 4: Simplify right side
    349,824x = 588,129,474,816
  5. Step 5: Solve for x
    x = 588,129,474,816/349,824
  6. Step 6: Final answer
    x = 1,681,215.34

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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.