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Finding the Third Proportional to 442,823.06 and 704,961.56

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Solution

The third proportional to 442,823.06 and 704,961.56 is: 1,122,278.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,823.06 : 704,961.56 = 704,961.56 : x
  2. Step 2: Convert to fraction form
    442,823.06/704,961.56 = 704,961.56/x
  3. Step 3: Cross multiply
    442,823.06x = 704,961.56 × 704,961.56
  4. Step 4: Simplify right side
    442,823.06x = 496,970,804,602.44
  5. Step 5: Solve for x
    x = 496,970,804,602.44/442,823.06
  6. Step 6: Final answer
    x = 1,122,278.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.