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Finding the Third Proportional to 272,649.80 and 416,355.19

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Solution

The third proportional to 272,649.80 and 416,355.19 is: 635,803.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,649.80 : 416,355.19 = 416,355.19 : x
  2. Step 2: Convert to fraction form
    272,649.80/416,355.19 = 416,355.19/x
  3. Step 3: Cross multiply
    272,649.80x = 416,355.19 × 416,355.19
  4. Step 4: Simplify right side
    272,649.80x = 173,351,642,158.16
  5. Step 5: Solve for x
    x = 173,351,642,158.16/272,649.80
  6. Step 6: Final answer
    x = 635,803.31

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.