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Finding the Third Proportional to 252,928.50 and 535,503

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Solution

The third proportional to 252,928.50 and 535,503 is: 1,133,772.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,928.50 : 535,503 = 535,503 : x
  2. Step 2: Convert to fraction form
    252,928.50/535,503 = 535,503/x
  3. Step 3: Cross multiply
    252,928.50x = 535,503 × 535,503
  4. Step 4: Simplify right side
    252,928.50x = 286,763,463,009
  5. Step 5: Solve for x
    x = 286,763,463,009/252,928.50
  6. Step 6: Final answer
    x = 1,133,772.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.