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Finding the Third Proportional to 451,402.03 and 701,211.09

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Solution

The third proportional to 451,402.03 and 701,211.09 is: 1,089,266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,402.03 : 701,211.09 = 701,211.09 : x
  2. Step 2: Convert to fraction form
    451,402.03/701,211.09 = 701,211.09/x
  3. Step 3: Cross multiply
    451,402.03x = 701,211.09 × 701,211.09
  4. Step 4: Simplify right side
    451,402.03x = 491,696,997,998.07
  5. Step 5: Solve for x
    x = 491,696,997,998.07/451,402.03
  6. Step 6: Final answer
    x = 1,089,266.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.