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Finding the Third Proportional to 296,724 and 642,696

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Solution

The third proportional to 296,724 and 642,696 is: 1,392,061.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,724 : 642,696 = 642,696 : x
  2. Step 2: Convert to fraction form
    296,724/642,696 = 642,696/x
  3. Step 3: Cross multiply
    296,724x = 642,696 × 642,696
  4. Step 4: Simplify right side
    296,724x = 413,058,148,416
  5. Step 5: Solve for x
    x = 413,058,148,416/296,724
  6. Step 6: Final answer
    x = 1,392,061.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.