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Finding the Third Proportional to 274,630 and 601,748

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Solution

The third proportional to 274,630 and 601,748 is: 1,318,503.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,630 : 601,748 = 601,748 : x
  2. Step 2: Convert to fraction form
    274,630/601,748 = 601,748/x
  3. Step 3: Cross multiply
    274,630x = 601,748 × 601,748
  4. Step 4: Simplify right side
    274,630x = 362,100,655,504
  5. Step 5: Solve for x
    x = 362,100,655,504/274,630
  6. Step 6: Final answer
    x = 1,318,503.64

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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.