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Finding the Third Proportional to 305,672.63 and 671,851.69

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Solution

The third proportional to 305,672.63 and 671,851.69 is: 1,476,693.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,672.63 : 671,851.69 = 671,851.69 : x
  2. Step 2: Convert to fraction form
    305,672.63/671,851.69 = 671,851.69/x
  3. Step 3: Cross multiply
    305,672.63x = 671,851.69 × 671,851.69
  4. Step 4: Simplify right side
    305,672.63x = 451,384,689,996.60
  5. Step 5: Solve for x
    x = 451,384,689,996.60/305,672.63
  6. Step 6: Final answer
    x = 1,476,693.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.