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Finding the Third Proportional to 377,874 and 528,291

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Solution

The third proportional to 377,874 and 528,291 is: 738,583.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,874 : 528,291 = 528,291 : x
  2. Step 2: Convert to fraction form
    377,874/528,291 = 528,291/x
  3. Step 3: Cross multiply
    377,874x = 528,291 × 528,291
  4. Step 4: Simplify right side
    377,874x = 279,091,380,681
  5. Step 5: Solve for x
    x = 279,091,380,681/377,874
  6. Step 6: Final answer
    x = 738,583.18

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.