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Finding the Third Proportional to 375,486 and 782,036

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Solution

The third proportional to 375,486 and 782,036 is: 1,628,769.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,486 : 782,036 = 782,036 : x
  2. Step 2: Convert to fraction form
    375,486/782,036 = 782,036/x
  3. Step 3: Cross multiply
    375,486x = 782,036 × 782,036
  4. Step 4: Simplify right side
    375,486x = 611,580,305,296
  5. Step 5: Solve for x
    x = 611,580,305,296/375,486
  6. Step 6: Final answer
    x = 1,628,769.93

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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.