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Finding the Third Proportional to 374,841.63 and 816,238.25

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Solution

The third proportional to 374,841.63 and 816,238.25 is: 1,777,403.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,841.63 : 816,238.25 = 816,238.25 : x
  2. Step 2: Convert to fraction form
    374,841.63/816,238.25 = 816,238.25/x
  3. Step 3: Cross multiply
    374,841.63x = 816,238.25 × 816,238.25
  4. Step 4: Simplify right side
    374,841.63x = 666,244,880,763.06
  5. Step 5: Solve for x
    x = 666,244,880,763.06/374,841.63
  6. Step 6: Final answer
    x = 1,777,403.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.