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Finding the Third Proportional to 301,924.69 and 651,138.19

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Solution

The third proportional to 301,924.69 and 651,138.19 is: 1,404,260.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,924.69 : 651,138.19 = 651,138.19 : x
  2. Step 2: Convert to fraction form
    301,924.69/651,138.19 = 651,138.19/x
  3. Step 3: Cross multiply
    301,924.69x = 651,138.19 × 651,138.19
  4. Step 4: Simplify right side
    301,924.69x = 423,980,939,220.79
  5. Step 5: Solve for x
    x = 423,980,939,220.79/301,924.69
  6. Step 6: Final answer
    x = 1,404,260.59

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