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Finding the Third Proportional to 452,066 and 700,425

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Solution

The third proportional to 452,066 and 700,425 is: 1,085,229.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,066 : 700,425 = 700,425 : x
  2. Step 2: Convert to fraction form
    452,066/700,425 = 700,425/x
  3. Step 3: Cross multiply
    452,066x = 700,425 × 700,425
  4. Step 4: Simplify right side
    452,066x = 490,595,180,625
  5. Step 5: Solve for x
    x = 490,595,180,625/452,066
  6. Step 6: Final answer
    x = 1,085,229.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.