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Finding the Third Proportional to 301,929.75 and 651,147.75

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Solution

The third proportional to 301,929.75 and 651,147.75 is: 1,404,278.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,929.75 : 651,147.75 = 651,147.75 : x
  2. Step 2: Convert to fraction form
    301,929.75/651,147.75 = 651,147.75/x
  3. Step 3: Cross multiply
    301,929.75x = 651,147.75 × 651,147.75
  4. Step 4: Simplify right side
    301,929.75x = 423,993,392,330.06
  5. Step 5: Solve for x
    x = 423,993,392,330.06/301,929.75
  6. Step 6: Final answer
    x = 1,404,278.29

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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.