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Finding the Third Proportional to 260,407.13 and 552,809.25

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Solution

The third proportional to 260,407.13 and 552,809.25 is: 1,173,539.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,407.13 : 552,809.25 = 552,809.25 : x
  2. Step 2: Convert to fraction form
    260,407.13/552,809.25 = 552,809.25/x
  3. Step 3: Cross multiply
    260,407.13x = 552,809.25 × 552,809.25
  4. Step 4: Simplify right side
    260,407.13x = 305,598,066,885.56
  5. Step 5: Solve for x
    x = 305,598,066,885.56/260,407.13
  6. Step 6: Final answer
    x = 1,173,539.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.