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Finding the Third Proportional to 296,136 and 476,907

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Solution

The third proportional to 296,136 and 476,907 is: 768,026.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,136 : 476,907 = 476,907 : x
  2. Step 2: Convert to fraction form
    296,136/476,907 = 476,907/x
  3. Step 3: Cross multiply
    296,136x = 476,907 × 476,907
  4. Step 4: Simplify right side
    296,136x = 227,440,286,649
  5. Step 5: Solve for x
    x = 227,440,286,649/296,136
  6. Step 6: Final answer
    x = 768,026.47

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.