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Finding the Third Proportional to 360,676.75 and 562,851

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Solution

The third proportional to 360,676.75 and 562,851 is: 878,352.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,676.75 : 562,851 = 562,851 : x
  2. Step 2: Convert to fraction form
    360,676.75/562,851 = 562,851/x
  3. Step 3: Cross multiply
    360,676.75x = 562,851 × 562,851
  4. Step 4: Simplify right side
    360,676.75x = 316,801,248,201
  5. Step 5: Solve for x
    x = 316,801,248,201/360,676.75
  6. Step 6: Final answer
    x = 878,352.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.