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Finding the Third Proportional to 354,612.94 and 530,666.44

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Solution

The third proportional to 354,612.94 and 530,666.44 is: 794,124.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,612.94 : 530,666.44 = 530,666.44 : x
  2. Step 2: Convert to fraction form
    354,612.94/530,666.44 = 530,666.44/x
  3. Step 3: Cross multiply
    354,612.94x = 530,666.44 × 530,666.44
  4. Step 4: Simplify right side
    354,612.94x = 281,606,867,888.94
  5. Step 5: Solve for x
    x = 281,606,867,888.94/354,612.94
  6. Step 6: Final answer
    x = 794,124.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.