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Finding the Third Proportional to 300,600 and 464,130

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Solution

The third proportional to 300,600 and 464,130 is: 716,622.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,600 : 464,130 = 464,130 : x
  2. Step 2: Convert to fraction form
    300,600/464,130 = 464,130/x
  3. Step 3: Cross multiply
    300,600x = 464,130 × 464,130
  4. Step 4: Simplify right side
    300,600x = 215,416,656,900
  5. Step 5: Solve for x
    x = 215,416,656,900/300,600
  6. Step 6: Final answer
    x = 716,622.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.