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Finding the Third Proportional to 245,282 and 509,016.75

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Solution

The third proportional to 245,282 and 509,016.75 is: 1,056,327.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,282 : 509,016.75 = 509,016.75 : x
  2. Step 2: Convert to fraction form
    245,282/509,016.75 = 509,016.75/x
  3. Step 3: Cross multiply
    245,282x = 509,016.75 × 509,016.75
  4. Step 4: Simplify right side
    245,282x = 259,098,051,780.56
  5. Step 5: Solve for x
    x = 259,098,051,780.56/245,282
  6. Step 6: Final answer
    x = 1,056,327.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.