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Finding the Third Proportional to 674,383.50 and 741,631.50

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Solution

The third proportional to 674,383.50 and 741,631.50 is: 815,585.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,383.50 : 741,631.50 = 741,631.50 : x
  2. Step 2: Convert to fraction form
    674,383.50/741,631.50 = 741,631.50/x
  3. Step 3: Cross multiply
    674,383.50x = 741,631.50 × 741,631.50
  4. Step 4: Simplify right side
    674,383.50x = 550,017,281,792.25
  5. Step 5: Solve for x
    x = 550,017,281,792.25/674,383.50
  6. Step 6: Final answer
    x = 815,585.32

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.