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Finding the Third Proportional to 292,213.50 and 395,984.25

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Solution

The third proportional to 292,213.50 and 395,984.25 is: 536,606.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,213.50 : 395,984.25 = 395,984.25 : x
  2. Step 2: Convert to fraction form
    292,213.50/395,984.25 = 395,984.25/x
  3. Step 3: Cross multiply
    292,213.50x = 395,984.25 × 395,984.25
  4. Step 4: Simplify right side
    292,213.50x = 156,803,526,248.06
  5. Step 5: Solve for x
    x = 156,803,526,248.06/292,213.50
  6. Step 6: Final answer
    x = 536,606.03

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.