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Finding the Third Proportional to 375,696 and 782,424

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Solution

The third proportional to 375,696 and 782,424 is: 1,629,475.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,696 : 782,424 = 782,424 : x
  2. Step 2: Convert to fraction form
    375,696/782,424 = 782,424/x
  3. Step 3: Cross multiply
    375,696x = 782,424 × 782,424
  4. Step 4: Simplify right side
    375,696x = 612,187,315,776
  5. Step 5: Solve for x
    x = 612,187,315,776/375,696
  6. Step 6: Final answer
    x = 1,629,475.20

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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.