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Finding the Third Proportional to 300,360 and 650,292

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Solution

The third proportional to 300,360 and 650,292 is: 1,407,909.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,360 : 650,292 = 650,292 : x
  2. Step 2: Convert to fraction form
    300,360/650,292 = 650,292/x
  3. Step 3: Cross multiply
    300,360x = 650,292 × 650,292
  4. Step 4: Simplify right side
    300,360x = 422,879,685,264
  5. Step 5: Solve for x
    x = 422,879,685,264/300,360
  6. Step 6: Final answer
    x = 1,407,909.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.