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Finding the Third Proportional to 235,690 and 509,032

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Solution

The third proportional to 235,690 and 509,032 is: 1,099,382.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,690 : 509,032 = 509,032 : x
  2. Step 2: Convert to fraction form
    235,690/509,032 = 509,032/x
  3. Step 3: Cross multiply
    235,690x = 509,032 × 509,032
  4. Step 4: Simplify right side
    235,690x = 259,113,577,024
  5. Step 5: Solve for x
    x = 259,113,577,024/235,690
  6. Step 6: Final answer
    x = 1,099,382.99

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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.