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Finding the Third Proportional to 321,415.50 and 475,562.25

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Solution

The third proportional to 321,415.50 and 475,562.25 is: 703,635.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,415.50 : 475,562.25 = 475,562.25 : x
  2. Step 2: Convert to fraction form
    321,415.50/475,562.25 = 475,562.25/x
  3. Step 3: Cross multiply
    321,415.50x = 475,562.25 × 475,562.25
  4. Step 4: Simplify right side
    321,415.50x = 226,159,453,625.06
  5. Step 5: Solve for x
    x = 226,159,453,625.06/321,415.50
  6. Step 6: Final answer
    x = 703,635.80

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.