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Finding the Third Proportional to 296,192 and 446,907

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Solution

The third proportional to 296,192 and 446,907 is: 674,312.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,192 : 446,907 = 446,907 : x
  2. Step 2: Convert to fraction form
    296,192/446,907 = 446,907/x
  3. Step 3: Cross multiply
    296,192x = 446,907 × 446,907
  4. Step 4: Simplify right side
    296,192x = 199,725,866,649
  5. Step 5: Solve for x
    x = 199,725,866,649/296,192
  6. Step 6: Final answer
    x = 674,312.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.