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Finding the Third Proportional to 235,933.50 and 509,409

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Solution

The third proportional to 235,933.50 and 509,409 is: 1,099,875.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,933.50 : 509,409 = 509,409 : x
  2. Step 2: Convert to fraction form
    235,933.50/509,409 = 509,409/x
  3. Step 3: Cross multiply
    235,933.50x = 509,409 × 509,409
  4. Step 4: Simplify right side
    235,933.50x = 259,497,529,281
  5. Step 5: Solve for x
    x = 259,497,529,281/235,933.50
  6. Step 6: Final answer
    x = 1,099,875.72

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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.