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Finding the Third Proportional to 377,694 and 815,710.50

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Solution

The third proportional to 377,694 and 815,710.50 is: 1,761,700.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,694 : 815,710.50 = 815,710.50 : x
  2. Step 2: Convert to fraction form
    377,694/815,710.50 = 815,710.50/x
  3. Step 3: Cross multiply
    377,694x = 815,710.50 × 815,710.50
  4. Step 4: Simplify right side
    377,694x = 665,383,619,810.25
  5. Step 5: Solve for x
    x = 665,383,619,810.25/377,694
  6. Step 6: Final answer
    x = 1,761,700.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.