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Finding the Third Proportional to 270,911.50 and 429,331

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Solution

The third proportional to 270,911.50 and 429,331 is: 680,388.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,911.50 : 429,331 = 429,331 : x
  2. Step 2: Convert to fraction form
    270,911.50/429,331 = 429,331/x
  3. Step 3: Cross multiply
    270,911.50x = 429,331 × 429,331
  4. Step 4: Simplify right side
    270,911.50x = 184,325,107,561
  5. Step 5: Solve for x
    x = 184,325,107,561/270,911.50
  6. Step 6: Final answer
    x = 680,388.64

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.