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Finding the Third Proportional to 538,050.50 and 824,025

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Solution

The third proportional to 538,050.50 and 824,025 is: 1,261,995.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,050.50 : 824,025 = 824,025 : x
  2. Step 2: Convert to fraction form
    538,050.50/824,025 = 824,025/x
  3. Step 3: Cross multiply
    538,050.50x = 824,025 × 824,025
  4. Step 4: Simplify right side
    538,050.50x = 679,017,200,625
  5. Step 5: Solve for x
    x = 679,017,200,625/538,050.50
  6. Step 6: Final answer
    x = 1,261,995.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.