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Finding the Third Proportional to 378,868.13 and 804,437.63

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Solution

The third proportional to 378,868.13 and 804,437.63 is: 1,708,034.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,868.13 : 804,437.63 = 804,437.63 : x
  2. Step 2: Convert to fraction form
    378,868.13/804,437.63 = 804,437.63/x
  3. Step 3: Cross multiply
    378,868.13x = 804,437.63 × 804,437.63
  4. Step 4: Simplify right side
    378,868.13x = 647,119,892,515.64
  5. Step 5: Solve for x
    x = 647,119,892,515.64/378,868.13
  6. Step 6: Final answer
    x = 1,708,034.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.