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Finding the Third Proportional to 328,536.25 and 480,331.75

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Solution

The third proportional to 328,536.25 and 480,331.75 is: 702,262.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,536.25 : 480,331.75 = 480,331.75 : x
  2. Step 2: Convert to fraction form
    328,536.25/480,331.75 = 480,331.75/x
  3. Step 3: Cross multiply
    328,536.25x = 480,331.75 × 480,331.75
  4. Step 4: Simplify right side
    328,536.25x = 230,718,590,058.06
  5. Step 5: Solve for x
    x = 230,718,590,058.06/328,536.25
  6. Step 6: Final answer
    x = 702,262.20

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.