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Finding the Third Proportional to 296,072.50 and 651,194

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Solution

The third proportional to 296,072.50 and 651,194 is: 1,432,262.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,072.50 : 651,194 = 651,194 : x
  2. Step 2: Convert to fraction form
    296,072.50/651,194 = 651,194/x
  3. Step 3: Cross multiply
    296,072.50x = 651,194 × 651,194
  4. Step 4: Simplify right side
    296,072.50x = 424,053,625,636
  5. Step 5: Solve for x
    x = 424,053,625,636/296,072.50
  6. Step 6: Final answer
    x = 1,432,262.79

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.