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Finding the Third Proportional to 467,400 and 700,308

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Solution

The third proportional to 467,400 and 700,308 is: 1,049,275.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,400 : 700,308 = 700,308 : x
  2. Step 2: Convert to fraction form
    467,400/700,308 = 700,308/x
  3. Step 3: Cross multiply
    467,400x = 700,308 × 700,308
  4. Step 4: Simplify right side
    467,400x = 490,431,294,864
  5. Step 5: Solve for x
    x = 490,431,294,864/467,400
  6. Step 6: Final answer
    x = 1,049,275.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.