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Finding the Third Proportional to 292,173 and 629,350.50

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Solution

The third proportional to 292,173 and 629,350.50 is: 1,355,642.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,173 : 629,350.50 = 629,350.50 : x
  2. Step 2: Convert to fraction form
    292,173/629,350.50 = 629,350.50/x
  3. Step 3: Cross multiply
    292,173x = 629,350.50 × 629,350.50
  4. Step 4: Simplify right side
    292,173x = 396,082,051,850.25
  5. Step 5: Solve for x
    x = 396,082,051,850.25/292,173
  6. Step 6: Final answer
    x = 1,355,642.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.