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Finding the Third Proportional to 235,850 and 509,062

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Solution

The third proportional to 235,850 and 509,062 is: 1,098,766.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,850 : 509,062 = 509,062 : x
  2. Step 2: Convert to fraction form
    235,850/509,062 = 509,062/x
  3. Step 3: Cross multiply
    235,850x = 509,062 × 509,062
  4. Step 4: Simplify right side
    235,850x = 259,144,119,844
  5. Step 5: Solve for x
    x = 259,144,119,844/235,850
  6. Step 6: Final answer
    x = 1,098,766.67

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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.