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Finding the Third Proportional to 296,046 and 651,144

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Solution

The third proportional to 296,046 and 651,144 is: 1,432,171.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,046 : 651,144 = 651,144 : x
  2. Step 2: Convert to fraction form
    296,046/651,144 = 651,144/x
  3. Step 3: Cross multiply
    296,046x = 651,144 × 651,144
  4. Step 4: Simplify right side
    296,046x = 423,988,508,736
  5. Step 5: Solve for x
    x = 423,988,508,736/296,046
  6. Step 6: Final answer
    x = 1,432,171.04

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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.