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Finding the Third Proportional to 296,041 and 651,132

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Solution

The third proportional to 296,041 and 651,132 is: 1,432,142.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,041 : 651,132 = 651,132 : x
  2. Step 2: Convert to fraction form
    296,041/651,132 = 651,132/x
  3. Step 3: Cross multiply
    296,041x = 651,132 × 651,132
  4. Step 4: Simplify right side
    296,041x = 423,972,881,424
  5. Step 5: Solve for x
    x = 423,972,881,424/296,041
  6. Step 6: Final answer
    x = 1,432,142.44

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Why These Related Problems?

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