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Finding the Third Proportional to 260,064 and 556,992

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Solution

The third proportional to 260,064 and 556,992 is: 1,192,937.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,064 : 556,992 = 556,992 : x
  2. Step 2: Convert to fraction form
    260,064/556,992 = 556,992/x
  3. Step 3: Cross multiply
    260,064x = 556,992 × 556,992
  4. Step 4: Simplify right side
    260,064x = 310,240,088,064
  5. Step 5: Solve for x
    x = 310,240,088,064/260,064
  6. Step 6: Final answer
    x = 1,192,937.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.