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Finding the Third Proportional to 301,122 and 649,764

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Solution

The third proportional to 301,122 and 649,764 is: 1,402,067.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,122 : 649,764 = 649,764 : x
  2. Step 2: Convert to fraction form
    301,122/649,764 = 649,764/x
  3. Step 3: Cross multiply
    301,122x = 649,764 × 649,764
  4. Step 4: Simplify right side
    301,122x = 422,193,255,696
  5. Step 5: Solve for x
    x = 422,193,255,696/301,122
  6. Step 6: Final answer
    x = 1,402,067.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.