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Finding the Third Proportional to 260,924 and 566,460

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Solution

The third proportional to 260,924 and 566,460 is: 1,229,771.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,924 : 566,460 = 566,460 : x
  2. Step 2: Convert to fraction form
    260,924/566,460 = 566,460/x
  3. Step 3: Cross multiply
    260,924x = 566,460 × 566,460
  4. Step 4: Simplify right side
    260,924x = 320,876,931,600
  5. Step 5: Solve for x
    x = 320,876,931,600/260,924
  6. Step 6: Final answer
    x = 1,229,771.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.