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Finding the Third Proportional to 232,969 and 504,022

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Solution

The third proportional to 232,969 and 504,022 is: 1,090,437.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,969 : 504,022 = 504,022 : x
  2. Step 2: Convert to fraction form
    232,969/504,022 = 504,022/x
  3. Step 3: Cross multiply
    232,969x = 504,022 × 504,022
  4. Step 4: Simplify right side
    232,969x = 254,038,176,484
  5. Step 5: Solve for x
    x = 254,038,176,484/232,969
  6. Step 6: Final answer
    x = 1,090,437.68

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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.