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Finding the Third Proportional to 484,685 and 804,992

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Solution

The third proportional to 484,685 and 804,992 is: 1,336,975.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,685 : 804,992 = 804,992 : x
  2. Step 2: Convert to fraction form
    484,685/804,992 = 804,992/x
  3. Step 3: Cross multiply
    484,685x = 804,992 × 804,992
  4. Step 4: Simplify right side
    484,685x = 648,012,120,064
  5. Step 5: Solve for x
    x = 648,012,120,064/484,685
  6. Step 6: Final answer
    x = 1,336,975.81

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.