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Finding the Third Proportional to 283,292 and 618,100

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Solution

The third proportional to 283,292 and 618,100 is: 1,348,600.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,292 : 618,100 = 618,100 : x
  2. Step 2: Convert to fraction form
    283,292/618,100 = 618,100/x
  3. Step 3: Cross multiply
    283,292x = 618,100 × 618,100
  4. Step 4: Simplify right side
    283,292x = 382,047,610,000
  5. Step 5: Solve for x
    x = 382,047,610,000/283,292
  6. Step 6: Final answer
    x = 1,348,600.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.