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Finding the Third Proportional to 461,321.25 and 621,029.63

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Solution

The third proportional to 461,321.25 and 621,029.63 is: 836,028.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,321.25 : 621,029.63 = 621,029.63 : x
  2. Step 2: Convert to fraction form
    461,321.25/621,029.63 = 621,029.63/x
  3. Step 3: Cross multiply
    461,321.25x = 621,029.63 × 621,029.63
  4. Step 4: Simplify right side
    461,321.25x = 385,677,795,127.64
  5. Step 5: Solve for x
    x = 385,677,795,127.64/461,321.25
  6. Step 6: Final answer
    x = 836,028.68

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.