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Finding the Third Proportional to 309,578.63 and 632,279.25

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Solution

The third proportional to 309,578.63 and 632,279.25 is: 1,291,358.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,578.63 : 632,279.25 = 632,279.25 : x
  2. Step 2: Convert to fraction form
    309,578.63/632,279.25 = 632,279.25/x
  3. Step 3: Cross multiply
    309,578.63x = 632,279.25 × 632,279.25
  4. Step 4: Simplify right side
    309,578.63x = 399,777,049,980.56
  5. Step 5: Solve for x
    x = 399,777,049,980.56/309,578.63
  6. Step 6: Final answer
    x = 1,291,358.70

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.