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Finding the Third Proportional to 462,589.50 and 674,194.50

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Solution

The third proportional to 462,589.50 and 674,194.50 is: 982,595.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,589.50 : 674,194.50 = 674,194.50 : x
  2. Step 2: Convert to fraction form
    462,589.50/674,194.50 = 674,194.50/x
  3. Step 3: Cross multiply
    462,589.50x = 674,194.50 × 674,194.50
  4. Step 4: Simplify right side
    462,589.50x = 454,538,223,830.25
  5. Step 5: Solve for x
    x = 454,538,223,830.25/462,589.50
  6. Step 6: Final answer
    x = 982,595.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.