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Finding the Third Proportional to 354,033.56 and 533,989.41

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Solution

The third proportional to 354,033.56 and 533,989.41 is: 805,417.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,033.56 : 533,989.41 = 533,989.41 : x
  2. Step 2: Convert to fraction form
    354,033.56/533,989.41 = 533,989.41/x
  3. Step 3: Cross multiply
    354,033.56x = 533,989.41 × 533,989.41
  4. Step 4: Simplify right side
    354,033.56x = 285,144,685,987.23
  5. Step 5: Solve for x
    x = 285,144,685,987.23/354,033.56
  6. Step 6: Final answer
    x = 805,417.10

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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.