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Finding the Third Proportional to 325,726.75 and 469,903.75

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Solution

The third proportional to 325,726.75 and 469,903.75 is: 677,898.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,726.75 : 469,903.75 = 469,903.75 : x
  2. Step 2: Convert to fraction form
    325,726.75/469,903.75 = 469,903.75/x
  3. Step 3: Cross multiply
    325,726.75x = 469,903.75 × 469,903.75
  4. Step 4: Simplify right side
    325,726.75x = 220,809,534,264.06
  5. Step 5: Solve for x
    x = 220,809,534,264.06/325,726.75
  6. Step 6: Final answer
    x = 677,898.07

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.