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Finding the Third Proportional to 301,800 and 651,028

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Solution

The third proportional to 301,800 and 651,028 is: 1,404,365.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,800 : 651,028 = 651,028 : x
  2. Step 2: Convert to fraction form
    301,800/651,028 = 651,028/x
  3. Step 3: Cross multiply
    301,800x = 651,028 × 651,028
  4. Step 4: Simplify right side
    301,800x = 423,837,456,784
  5. Step 5: Solve for x
    x = 423,837,456,784/301,800
  6. Step 6: Final answer
    x = 1,404,365.33

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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.