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Finding the Third Proportional to 199,242 and 429,970

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Solution

The third proportional to 199,242 and 429,970 is: 927,887.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,242 : 429,970 = 429,970 : x
  2. Step 2: Convert to fraction form
    199,242/429,970 = 429,970/x
  3. Step 3: Cross multiply
    199,242x = 429,970 × 429,970
  4. Step 4: Simplify right side
    199,242x = 184,874,200,900
  5. Step 5: Solve for x
    x = 184,874,200,900/199,242
  6. Step 6: Final answer
    x = 927,887.70

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