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Finding the Third Proportional to 264,486 and 350,841

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Solution

The third proportional to 264,486 and 350,841 is: 465,391.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,486 : 350,841 = 350,841 : x
  2. Step 2: Convert to fraction form
    264,486/350,841 = 350,841/x
  3. Step 3: Cross multiply
    264,486x = 350,841 × 350,841
  4. Step 4: Simplify right side
    264,486x = 123,089,407,281
  5. Step 5: Solve for x
    x = 123,089,407,281/264,486
  6. Step 6: Final answer
    x = 465,391.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.