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Finding the Third Proportional to 366,312 and 629,617.50

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Solution

The third proportional to 366,312 and 629,617.50 is: 1,082,187.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,312 : 629,617.50 = 629,617.50 : x
  2. Step 2: Convert to fraction form
    366,312/629,617.50 = 629,617.50/x
  3. Step 3: Cross multiply
    366,312x = 629,617.50 × 629,617.50
  4. Step 4: Simplify right side
    366,312x = 396,418,196,306.25
  5. Step 5: Solve for x
    x = 396,418,196,306.25/366,312
  6. Step 6: Final answer
    x = 1,082,187.31

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.