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Finding the Third Proportional to 281,625 and 607,491

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Solution

The third proportional to 281,625 and 607,491 is: 1,310,413.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,625 : 607,491 = 607,491 : x
  2. Step 2: Convert to fraction form
    281,625/607,491 = 607,491/x
  3. Step 3: Cross multiply
    281,625x = 607,491 × 607,491
  4. Step 4: Simplify right side
    281,625x = 369,045,315,081
  5. Step 5: Solve for x
    x = 369,045,315,081/281,625
  6. Step 6: Final answer
    x = 1,310,413.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.