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Finding the Third Proportional to 283,653 and 419,878.50

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Solution

The third proportional to 283,653 and 419,878.50 is: 621,526.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,653 : 419,878.50 = 419,878.50 : x
  2. Step 2: Convert to fraction form
    283,653/419,878.50 = 419,878.50/x
  3. Step 3: Cross multiply
    283,653x = 419,878.50 × 419,878.50
  4. Step 4: Simplify right side
    283,653x = 176,297,954,762.25
  5. Step 5: Solve for x
    x = 176,297,954,762.25/283,653
  6. Step 6: Final answer
    x = 621,526.85

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.