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Finding the Third Proportional to 300,090 and 655,944

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Solution

The third proportional to 300,090 and 655,944 is: 1,433,778.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,090 : 655,944 = 655,944 : x
  2. Step 2: Convert to fraction form
    300,090/655,944 = 655,944/x
  3. Step 3: Cross multiply
    300,090x = 655,944 × 655,944
  4. Step 4: Simplify right side
    300,090x = 430,262,531,136
  5. Step 5: Solve for x
    x = 430,262,531,136/300,090
  6. Step 6: Final answer
    x = 1,433,778.30

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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.