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Finding the Third Proportional to 301,797 and 651,015

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Solution

The third proportional to 301,797 and 651,015 is: 1,404,323.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,797 : 651,015 = 651,015 : x
  2. Step 2: Convert to fraction form
    301,797/651,015 = 651,015/x
  3. Step 3: Cross multiply
    301,797x = 651,015 × 651,015
  4. Step 4: Simplify right side
    301,797x = 423,820,530,225
  5. Step 5: Solve for x
    x = 423,820,530,225/301,797
  6. Step 6: Final answer
    x = 1,404,323.20

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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.