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Finding the Third Proportional to 476,611 and 736,057

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Solution

The third proportional to 476,611 and 736,057 is: 1,136,733.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,611 : 736,057 = 736,057 : x
  2. Step 2: Convert to fraction form
    476,611/736,057 = 736,057/x
  3. Step 3: Cross multiply
    476,611x = 736,057 × 736,057
  4. Step 4: Simplify right side
    476,611x = 541,779,907,249
  5. Step 5: Solve for x
    x = 541,779,907,249/476,611
  6. Step 6: Final answer
    x = 1,136,733.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.