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Finding the Third Proportional to 225,528 and 524,400

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Solution

The third proportional to 225,528 and 524,400 is: 1,219,340.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,528 : 524,400 = 524,400 : x
  2. Step 2: Convert to fraction form
    225,528/524,400 = 524,400/x
  3. Step 3: Cross multiply
    225,528x = 524,400 × 524,400
  4. Step 4: Simplify right side
    225,528x = 274,995,360,000
  5. Step 5: Solve for x
    x = 274,995,360,000/225,528
  6. Step 6: Final answer
    x = 1,219,340.21

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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.