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Finding the Third Proportional to 375,515 and 782,092

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Solution

The third proportional to 375,515 and 782,092 is: 1,628,877.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,515 : 782,092 = 782,092 : x
  2. Step 2: Convert to fraction form
    375,515/782,092 = 782,092/x
  3. Step 3: Cross multiply
    375,515x = 782,092 × 782,092
  4. Step 4: Simplify right side
    375,515x = 611,667,896,464
  5. Step 5: Solve for x
    x = 611,667,896,464/375,515
  6. Step 6: Final answer
    x = 1,628,877.40

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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.