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Finding the Third Proportional to 349,646 and 766,684

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Solution

The third proportional to 349,646 and 766,684 is: 1,681,141.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,646 : 766,684 = 766,684 : x
  2. Step 2: Convert to fraction form
    349,646/766,684 = 766,684/x
  3. Step 3: Cross multiply
    349,646x = 766,684 × 766,684
  4. Step 4: Simplify right side
    349,646x = 587,804,355,856
  5. Step 5: Solve for x
    x = 587,804,355,856/349,646
  6. Step 6: Final answer
    x = 1,681,141.37

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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.