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Finding the Third Proportional to 283,026 and 618,540

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Solution

The third proportional to 283,026 and 618,540 is: 1,351,790.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,026 : 618,540 = 618,540 : x
  2. Step 2: Convert to fraction form
    283,026/618,540 = 618,540/x
  3. Step 3: Cross multiply
    283,026x = 618,540 × 618,540
  4. Step 4: Simplify right side
    283,026x = 382,591,731,600
  5. Step 5: Solve for x
    x = 382,591,731,600/283,026
  6. Step 6: Final answer
    x = 1,351,790.05

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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.