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Finding the Third Proportional to 260,233.88 and 602,397

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Solution

The third proportional to 260,233.88 and 602,397 is: 1,394,446.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,233.88 : 602,397 = 602,397 : x
  2. Step 2: Convert to fraction form
    260,233.88/602,397 = 602,397/x
  3. Step 3: Cross multiply
    260,233.88x = 602,397 × 602,397
  4. Step 4: Simplify right side
    260,233.88x = 362,882,145,609
  5. Step 5: Solve for x
    x = 362,882,145,609/260,233.88
  6. Step 6: Final answer
    x = 1,394,446.23

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.