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Finding the Third Proportional to 301,698 and 661,010

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Solution

The third proportional to 301,698 and 661,010 is: 1,448,250.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,698 : 661,010 = 661,010 : x
  2. Step 2: Convert to fraction form
    301,698/661,010 = 661,010/x
  3. Step 3: Cross multiply
    301,698x = 661,010 × 661,010
  4. Step 4: Simplify right side
    301,698x = 436,934,220,100
  5. Step 5: Solve for x
    x = 436,934,220,100/301,698
  6. Step 6: Final answer
    x = 1,448,250.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.