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Finding the Third Proportional to 360,682 and 562,858

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Solution

The third proportional to 360,682 and 562,858 is: 878,361.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,682 : 562,858 = 562,858 : x
  2. Step 2: Convert to fraction form
    360,682/562,858 = 562,858/x
  3. Step 3: Cross multiply
    360,682x = 562,858 × 562,858
  4. Step 4: Simplify right side
    360,682x = 316,809,128,164
  5. Step 5: Solve for x
    x = 316,809,128,164/360,682
  6. Step 6: Final answer
    x = 878,361.35

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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.