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Finding the Third Proportional to 260,630 and 571,083

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Solution

The third proportional to 260,630 and 571,083 is: 1,251,336.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,630 : 571,083 = 571,083 : x
  2. Step 2: Convert to fraction form
    260,630/571,083 = 571,083/x
  3. Step 3: Cross multiply
    260,630x = 571,083 × 571,083
  4. Step 4: Simplify right side
    260,630x = 326,135,792,889
  5. Step 5: Solve for x
    x = 326,135,792,889/260,630
  6. Step 6: Final answer
    x = 1,251,336.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.