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Finding the Third Proportional to 391,486.50 and 595,431

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Solution

The third proportional to 391,486.50 and 595,431 is: 905,620.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,486.50 : 595,431 = 595,431 : x
  2. Step 2: Convert to fraction form
    391,486.50/595,431 = 595,431/x
  3. Step 3: Cross multiply
    391,486.50x = 595,431 × 595,431
  4. Step 4: Simplify right side
    391,486.50x = 354,538,075,761
  5. Step 5: Solve for x
    x = 354,538,075,761/391,486.50
  6. Step 6: Final answer
    x = 905,620.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.