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Finding the Third Proportional to 283,106 and 618,716

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Solution

The third proportional to 283,106 and 618,716 is: 1,352,177.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,106 : 618,716 = 618,716 : x
  2. Step 2: Convert to fraction form
    283,106/618,716 = 618,716/x
  3. Step 3: Cross multiply
    283,106x = 618,716 × 618,716
  4. Step 4: Simplify right side
    283,106x = 382,809,488,656
  5. Step 5: Solve for x
    x = 382,809,488,656/283,106
  6. Step 6: Final answer
    x = 1,352,177.24

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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.