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Finding the Third Proportional to 375,471 and 782,006

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Solution

The third proportional to 375,471 and 782,006 is: 1,628,710.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,471 : 782,006 = 782,006 : x
  2. Step 2: Convert to fraction form
    375,471/782,006 = 782,006/x
  3. Step 3: Cross multiply
    375,471x = 782,006 × 782,006
  4. Step 4: Simplify right side
    375,471x = 611,533,384,036
  5. Step 5: Solve for x
    x = 611,533,384,036/375,471
  6. Step 6: Final answer
    x = 1,628,710.03

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