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Finding the Third Proportional to 232,971 and 504,025.50

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Solution

The third proportional to 232,971 and 504,025.50 is: 1,090,443.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,971 : 504,025.50 = 504,025.50 : x
  2. Step 2: Convert to fraction form
    232,971/504,025.50 = 504,025.50/x
  3. Step 3: Cross multiply
    232,971x = 504,025.50 × 504,025.50
  4. Step 4: Simplify right side
    232,971x = 254,041,704,650.25
  5. Step 5: Solve for x
    x = 254,041,704,650.25/232,971
  6. Step 6: Final answer
    x = 1,090,443.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.