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Finding the Third Proportional to 354,034.88 and 533,991.38

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Solution

The third proportional to 354,034.88 and 533,991.38 is: 805,420.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,034.88 : 533,991.38 = 533,991.38 : x
  2. Step 2: Convert to fraction form
    354,034.88/533,991.38 = 533,991.38/x
  3. Step 3: Cross multiply
    354,034.88x = 533,991.38 × 533,991.38
  4. Step 4: Simplify right side
    354,034.88x = 285,146,788,574.39
  5. Step 5: Solve for x
    x = 285,146,788,574.39/354,034.88
  6. Step 6: Final answer
    x = 805,420.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.