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Finding the Third Proportional to 354,604.50 and 530,654.63

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Solution

The third proportional to 354,604.50 and 530,654.63 is: 794,108.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,604.50 : 530,654.63 = 530,654.63 : x
  2. Step 2: Convert to fraction form
    354,604.50/530,654.63 = 530,654.63/x
  3. Step 3: Cross multiply
    354,604.50x = 530,654.63 × 530,654.63
  4. Step 4: Simplify right side
    354,604.50x = 281,594,331,033.89
  5. Step 5: Solve for x
    x = 281,594,331,033.89/354,604.50
  6. Step 6: Final answer
    x = 794,108.17

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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.