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Finding the Third Proportional to 225,504 and 524,353.50

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Solution

The third proportional to 225,504 and 524,353.50 is: 1,219,253.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,504 : 524,353.50 = 524,353.50 : x
  2. Step 2: Convert to fraction form
    225,504/524,353.50 = 524,353.50/x
  3. Step 3: Cross multiply
    225,504x = 524,353.50 × 524,353.50
  4. Step 4: Simplify right side
    225,504x = 274,946,592,962.25
  5. Step 5: Solve for x
    x = 274,946,592,962.25/225,504
  6. Step 6: Final answer
    x = 1,219,253.73

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.