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Finding the Third Proportional to 235,716 and 509,082

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Solution

The third proportional to 235,716 and 509,082 is: 1,099,477.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,716 : 509,082 = 509,082 : x
  2. Step 2: Convert to fraction form
    235,716/509,082 = 509,082/x
  3. Step 3: Cross multiply
    235,716x = 509,082 × 509,082
  4. Step 4: Simplify right side
    235,716x = 259,164,482,724
  5. Step 5: Solve for x
    x = 259,164,482,724/235,716
  6. Step 6: Final answer
    x = 1,099,477.69

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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.