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Finding the Third Proportional to 364,668 and 766,188

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Solution

The third proportional to 364,668 and 766,188 is: 1,609,804.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,668 : 766,188 = 766,188 : x
  2. Step 2: Convert to fraction form
    364,668/766,188 = 766,188/x
  3. Step 3: Cross multiply
    364,668x = 766,188 × 766,188
  4. Step 4: Simplify right side
    364,668x = 587,044,051,344
  5. Step 5: Solve for x
    x = 587,044,051,344/364,668
  6. Step 6: Final answer
    x = 1,609,804.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.