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Finding the Third Proportional to 320,503 and 700,541.25

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Solution

The third proportional to 320,503 and 700,541.25 is: 1,531,212.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,503 : 700,541.25 = 700,541.25 : x
  2. Step 2: Convert to fraction form
    320,503/700,541.25 = 700,541.25/x
  3. Step 3: Cross multiply
    320,503x = 700,541.25 × 700,541.25
  4. Step 4: Simplify right side
    320,503x = 490,758,042,951.56
  5. Step 5: Solve for x
    x = 490,758,042,951.56/320,503
  6. Step 6: Final answer
    x = 1,531,212.01

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.