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Finding the Third Proportional to 278,272 and 609,024

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Solution

The third proportional to 278,272 and 609,024 is: 1,332,905.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,272 : 609,024 = 609,024 : x
  2. Step 2: Convert to fraction form
    278,272/609,024 = 609,024/x
  3. Step 3: Cross multiply
    278,272x = 609,024 × 609,024
  4. Step 4: Simplify right side
    278,272x = 370,910,232,576
  5. Step 5: Solve for x
    x = 370,910,232,576/278,272
  6. Step 6: Final answer
    x = 1,332,905.33

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Why These Related Problems?

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