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Finding the Third Proportional to 375,019 and 595,745.50

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Solution

The third proportional to 375,019 and 595,745.50 is: 946,385.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,019 : 595,745.50 = 595,745.50 : x
  2. Step 2: Convert to fraction form
    375,019/595,745.50 = 595,745.50/x
  3. Step 3: Cross multiply
    375,019x = 595,745.50 × 595,745.50
  4. Step 4: Simplify right side
    375,019x = 354,912,700,770.25
  5. Step 5: Solve for x
    x = 354,912,700,770.25/375,019
  6. Step 6: Final answer
    x = 946,385.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.