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Finding the Third Proportional to 275,602 and 562,892

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Solution

The third proportional to 275,602 and 562,892 is: 1,149,655.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,602 : 562,892 = 562,892 : x
  2. Step 2: Convert to fraction form
    275,602/562,892 = 562,892/x
  3. Step 3: Cross multiply
    275,602x = 562,892 × 562,892
  4. Step 4: Simplify right side
    275,602x = 316,847,403,664
  5. Step 5: Solve for x
    x = 316,847,403,664/275,602
  6. Step 6: Final answer
    x = 1,149,655.68

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.