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Finding the Third Proportional to 260,712 and 571,240

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Solution

The third proportional to 260,712 and 571,240 is: 1,251,630.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,712 : 571,240 = 571,240 : x
  2. Step 2: Convert to fraction form
    260,712/571,240 = 571,240/x
  3. Step 3: Cross multiply
    260,712x = 571,240 × 571,240
  4. Step 4: Simplify right side
    260,712x = 326,315,137,600
  5. Step 5: Solve for x
    x = 326,315,137,600/260,712
  6. Step 6: Final answer
    x = 1,251,630.68

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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.