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Finding the Third Proportional to 232,690 and 508,958

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Solution

The third proportional to 232,690 and 508,958 is: 1,113,233.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,690 : 508,958 = 508,958 : x
  2. Step 2: Convert to fraction form
    232,690/508,958 = 508,958/x
  3. Step 3: Cross multiply
    232,690x = 508,958 × 508,958
  4. Step 4: Simplify right side
    232,690x = 259,038,245,764
  5. Step 5: Solve for x
    x = 259,038,245,764/232,690
  6. Step 6: Final answer
    x = 1,113,233.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.