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Finding the Third Proportional to 403,984 and 850,560

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Solution

The third proportional to 403,984 and 850,560 is: 1,790,794.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,984 : 850,560 = 850,560 : x
  2. Step 2: Convert to fraction form
    403,984/850,560 = 850,560/x
  3. Step 3: Cross multiply
    403,984x = 850,560 × 850,560
  4. Step 4: Simplify right side
    403,984x = 723,452,313,600
  5. Step 5: Solve for x
    x = 723,452,313,600/403,984
  6. Step 6: Final answer
    x = 1,790,794.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.