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Finding the Third Proportional to 375,767.44 and 788,460.75

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Solution

The third proportional to 375,767.44 and 788,460.75 is: 1,654,401.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,767.44 : 788,460.75 = 788,460.75 : x
  2. Step 2: Convert to fraction form
    375,767.44/788,460.75 = 788,460.75/x
  3. Step 3: Cross multiply
    375,767.44x = 788,460.75 × 788,460.75
  4. Step 4: Simplify right side
    375,767.44x = 621,670,354,290.56
  5. Step 5: Solve for x
    x = 621,670,354,290.56/375,767.44
  6. Step 6: Final answer
    x = 1,654,401.88

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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.