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Finding the Third Proportional to 375,749 and 782,554

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Solution

The third proportional to 375,749 and 782,554 is: 1,629,786.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,749 : 782,554 = 782,554 : x
  2. Step 2: Convert to fraction form
    375,749/782,554 = 782,554/x
  3. Step 3: Cross multiply
    375,749x = 782,554 × 782,554
  4. Step 4: Simplify right side
    375,749x = 612,390,762,916
  5. Step 5: Solve for x
    x = 612,390,762,916/375,749
  6. Step 6: Final answer
    x = 1,629,786.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.