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Finding the Third Proportional to 300,200 and 460,284

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Solution

The third proportional to 300,200 and 460,284 is: 705,734.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,200 : 460,284 = 460,284 : x
  2. Step 2: Convert to fraction form
    300,200/460,284 = 460,284/x
  3. Step 3: Cross multiply
    300,200x = 460,284 × 460,284
  4. Step 4: Simplify right side
    300,200x = 211,861,360,656
  5. Step 5: Solve for x
    x = 211,861,360,656/300,200
  6. Step 6: Final answer
    x = 705,734.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.