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Finding the Third Proportional to 362,675 and 509,830

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Solution

The third proportional to 362,675 and 509,830 is: 716,692.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,675 : 509,830 = 509,830 : x
  2. Step 2: Convert to fraction form
    362,675/509,830 = 509,830/x
  3. Step 3: Cross multiply
    362,675x = 509,830 × 509,830
  4. Step 4: Simplify right side
    362,675x = 259,926,628,900
  5. Step 5: Solve for x
    x = 259,926,628,900/362,675
  6. Step 6: Final answer
    x = 716,692.99

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.