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Finding the Third Proportional to 274,768 and 602,672

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Solution

The third proportional to 274,768 and 602,672 is: 1,321,891.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,768 : 602,672 = 602,672 : x
  2. Step 2: Convert to fraction form
    274,768/602,672 = 602,672/x
  3. Step 3: Cross multiply
    274,768x = 602,672 × 602,672
  4. Step 4: Simplify right side
    274,768x = 363,213,539,584
  5. Step 5: Solve for x
    x = 363,213,539,584/274,768
  6. Step 6: Final answer
    x = 1,321,891.70

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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.