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Finding the Third Proportional to 377,257.50 and 588,849.75

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Solution

The third proportional to 377,257.50 and 588,849.75 is: 919,117.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,257.50 : 588,849.75 = 588,849.75 : x
  2. Step 2: Convert to fraction form
    377,257.50/588,849.75 = 588,849.75/x
  3. Step 3: Cross multiply
    377,257.50x = 588,849.75 × 588,849.75
  4. Step 4: Simplify right side
    377,257.50x = 346,744,028,075.06
  5. Step 5: Solve for x
    x = 346,744,028,075.06/377,257.50
  6. Step 6: Final answer
    x = 919,117.65

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.