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Finding the Third Proportional to 235,615.50 and 523,476

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Solution

The third proportional to 235,615.50 and 523,476 is: 1,163,026.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,615.50 : 523,476 = 523,476 : x
  2. Step 2: Convert to fraction form
    235,615.50/523,476 = 523,476/x
  3. Step 3: Cross multiply
    235,615.50x = 523,476 × 523,476
  4. Step 4: Simplify right side
    235,615.50x = 274,027,122,576
  5. Step 5: Solve for x
    x = 274,027,122,576/235,615.50
  6. Step 6: Final answer
    x = 1,163,026.72

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.