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Finding the Third Proportional to 283,038 and 618,564

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Solution

The third proportional to 283,038 and 618,564 is: 1,351,837.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,038 : 618,564 = 618,564 : x
  2. Step 2: Convert to fraction form
    283,038/618,564 = 618,564/x
  3. Step 3: Cross multiply
    283,038x = 618,564 × 618,564
  4. Step 4: Simplify right side
    283,038x = 382,621,422,096
  5. Step 5: Solve for x
    x = 382,621,422,096/283,038
  6. Step 6: Final answer
    x = 1,351,837.64

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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.