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Finding the Third Proportional to 281,669.25 and 626,307

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Solution

The third proportional to 281,669.25 and 626,307 is: 1,392,627.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,669.25 : 626,307 = 626,307 : x
  2. Step 2: Convert to fraction form
    281,669.25/626,307 = 626,307/x
  3. Step 3: Cross multiply
    281,669.25x = 626,307 × 626,307
  4. Step 4: Simplify right side
    281,669.25x = 392,260,458,249
  5. Step 5: Solve for x
    x = 392,260,458,249/281,669.25
  6. Step 6: Final answer
    x = 1,392,627.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.