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Finding the Third Proportional to 634,165.50 and 981,525

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Solution

The third proportional to 634,165.50 and 981,525 is: 1,519,148.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,165.50 : 981,525 = 981,525 : x
  2. Step 2: Convert to fraction form
    634,165.50/981,525 = 981,525/x
  3. Step 3: Cross multiply
    634,165.50x = 981,525 × 981,525
  4. Step 4: Simplify right side
    634,165.50x = 963,391,325,625
  5. Step 5: Solve for x
    x = 963,391,325,625/634,165.50
  6. Step 6: Final answer
    x = 1,519,148.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.