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Finding the Third Proportional to 429,012 and 641,250

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Solution

The third proportional to 429,012 and 641,250 is: 958,484.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,012 : 641,250 = 641,250 : x
  2. Step 2: Convert to fraction form
    429,012/641,250 = 641,250/x
  3. Step 3: Cross multiply
    429,012x = 641,250 × 641,250
  4. Step 4: Simplify right side
    429,012x = 411,201,562,500
  5. Step 5: Solve for x
    x = 411,201,562,500/429,012
  6. Step 6: Final answer
    x = 958,484.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.