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Finding the Third Proportional to 235,852 and 509,066

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Solution

The third proportional to 235,852 and 509,066 is: 1,098,774.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,852 : 509,066 = 509,066 : x
  2. Step 2: Convert to fraction form
    235,852/509,066 = 509,066/x
  3. Step 3: Cross multiply
    235,852x = 509,066 × 509,066
  4. Step 4: Simplify right side
    235,852x = 259,148,192,356
  5. Step 5: Solve for x
    x = 259,148,192,356/235,852
  6. Step 6: Final answer
    x = 1,098,774.62

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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.