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Finding the Third Proportional to 483,090 and 696,771

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Solution

The third proportional to 483,090 and 696,771 is: 1,004,967.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,090 : 696,771 = 696,771 : x
  2. Step 2: Convert to fraction form
    483,090/696,771 = 696,771/x
  3. Step 3: Cross multiply
    483,090x = 696,771 × 696,771
  4. Step 4: Simplify right side
    483,090x = 485,489,826,441
  5. Step 5: Solve for x
    x = 485,489,826,441/483,090
  6. Step 6: Final answer
    x = 1,004,967.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.