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Finding the Third Proportional to 401,104.50 and 601,743

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Solution

The third proportional to 401,104.50 and 601,743 is: 902,743.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,104.50 : 601,743 = 601,743 : x
  2. Step 2: Convert to fraction form
    401,104.50/601,743 = 601,743/x
  3. Step 3: Cross multiply
    401,104.50x = 601,743 × 601,743
  4. Step 4: Simplify right side
    401,104.50x = 362,094,638,049
  5. Step 5: Solve for x
    x = 362,094,638,049/401,104.50
  6. Step 6: Final answer
    x = 902,743.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.