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Finding the Third Proportional to 274,550 and 601,588

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Solution

The third proportional to 274,550 and 601,588 is: 1,318,186.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,550 : 601,588 = 601,588 : x
  2. Step 2: Convert to fraction form
    274,550/601,588 = 601,588/x
  3. Step 3: Cross multiply
    274,550x = 601,588 × 601,588
  4. Step 4: Simplify right side
    274,550x = 361,908,121,744
  5. Step 5: Solve for x
    x = 361,908,121,744/274,550
  6. Step 6: Final answer
    x = 1,318,186.57

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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.