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Finding the Third Proportional to 270,044 and 581,640

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Solution

The third proportional to 270,044 and 581,640 is: 1,252,777.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,044 : 581,640 = 581,640 : x
  2. Step 2: Convert to fraction form
    270,044/581,640 = 581,640/x
  3. Step 3: Cross multiply
    270,044x = 581,640 × 581,640
  4. Step 4: Simplify right side
    270,044x = 338,305,089,600
  5. Step 5: Solve for x
    x = 338,305,089,600/270,044
  6. Step 6: Final answer
    x = 1,252,777.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.