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Finding the Third Proportional to 429,961.50 and 920,187

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Solution

The third proportional to 429,961.50 and 920,187 is: 1,969,348.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,961.50 : 920,187 = 920,187 : x
  2. Step 2: Convert to fraction form
    429,961.50/920,187 = 920,187/x
  3. Step 3: Cross multiply
    429,961.50x = 920,187 × 920,187
  4. Step 4: Simplify right side
    429,961.50x = 846,744,114,969
  5. Step 5: Solve for x
    x = 846,744,114,969/429,961.50
  6. Step 6: Final answer
    x = 1,969,348.69

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.