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Finding the Third Proportional to 375,872 and 788,649

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Solution

The third proportional to 375,872 and 788,649 is: 1,654,731.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,872 : 788,649 = 788,649 : x
  2. Step 2: Convert to fraction form
    375,872/788,649 = 788,649/x
  3. Step 3: Cross multiply
    375,872x = 788,649 × 788,649
  4. Step 4: Simplify right side
    375,872x = 621,967,245,201
  5. Step 5: Solve for x
    x = 621,967,245,201/375,872
  6. Step 6: Final answer
    x = 1,654,731.52

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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.