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Finding the Third Proportional to 260,139 and 562,071

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Solution

The third proportional to 260,139 and 562,071 is: 1,214,442.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,139 : 562,071 = 562,071 : x
  2. Step 2: Convert to fraction form
    260,139/562,071 = 562,071/x
  3. Step 3: Cross multiply
    260,139x = 562,071 × 562,071
  4. Step 4: Simplify right side
    260,139x = 315,923,809,041
  5. Step 5: Solve for x
    x = 315,923,809,041/260,139
  6. Step 6: Final answer
    x = 1,214,442.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.