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Finding the Third Proportional to 431,653.50 and 639,108

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Solution

The third proportional to 431,653.50 and 639,108 is: 946,266.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,653.50 : 639,108 = 639,108 : x
  2. Step 2: Convert to fraction form
    431,653.50/639,108 = 639,108/x
  3. Step 3: Cross multiply
    431,653.50x = 639,108 × 639,108
  4. Step 4: Simplify right side
    431,653.50x = 408,459,035,664
  5. Step 5: Solve for x
    x = 408,459,035,664/431,653.50
  6. Step 6: Final answer
    x = 946,266.01

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.