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Finding the Third Proportional to 273,528 and 568,800

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Solution

The third proportional to 273,528 and 568,800 is: 1,182,816.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,528 : 568,800 = 568,800 : x
  2. Step 2: Convert to fraction form
    273,528/568,800 = 568,800/x
  3. Step 3: Cross multiply
    273,528x = 568,800 × 568,800
  4. Step 4: Simplify right side
    273,528x = 323,533,440,000
  5. Step 5: Solve for x
    x = 323,533,440,000/273,528
  6. Step 6: Final answer
    x = 1,182,816.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.