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Finding the Third Proportional to 283,104 and 618,712

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Solution

The third proportional to 283,104 and 618,712 is: 1,352,169.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,104 : 618,712 = 618,712 : x
  2. Step 2: Convert to fraction form
    283,104/618,712 = 618,712/x
  3. Step 3: Cross multiply
    283,104x = 618,712 × 618,712
  4. Step 4: Simplify right side
    283,104x = 382,804,538,944
  5. Step 5: Solve for x
    x = 382,804,538,944/283,104
  6. Step 6: Final answer
    x = 1,352,169.31

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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.