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Finding the Third Proportional to 302,216.06 and 635,460.19

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Solution

The third proportional to 302,216.06 and 635,460.19 is: 1,336,162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,216.06 : 635,460.19 = 635,460.19 : x
  2. Step 2: Convert to fraction form
    302,216.06/635,460.19 = 635,460.19/x
  3. Step 3: Cross multiply
    302,216.06x = 635,460.19 × 635,460.19
  4. Step 4: Simplify right side
    302,216.06x = 403,809,649,897.54
  5. Step 5: Solve for x
    x = 403,809,649,897.54/302,216.06
  6. Step 6: Final answer
    x = 1,336,162.10

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.