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Finding the Third Proportional to 254,106 and 536,397

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Solution

The third proportional to 254,106 and 536,397 is: 1,132,290.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,106 : 536,397 = 536,397 : x
  2. Step 2: Convert to fraction form
    254,106/536,397 = 536,397/x
  3. Step 3: Cross multiply
    254,106x = 536,397 × 536,397
  4. Step 4: Simplify right side
    254,106x = 287,721,741,609
  5. Step 5: Solve for x
    x = 287,721,741,609/254,106
  6. Step 6: Final answer
    x = 1,132,290.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.