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Finding the Third Proportional to 629,878.50 and 648,022.50

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Solution

The third proportional to 629,878.50 and 648,022.50 is: 666,689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,878.50 : 648,022.50 = 648,022.50 : x
  2. Step 2: Convert to fraction form
    629,878.50/648,022.50 = 648,022.50/x
  3. Step 3: Cross multiply
    629,878.50x = 648,022.50 × 648,022.50
  4. Step 4: Simplify right side
    629,878.50x = 419,933,160,506.25
  5. Step 5: Solve for x
    x = 419,933,160,506.25/629,878.50
  6. Step 6: Final answer
    x = 666,689.15

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.