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Finding the Third Proportional to 462,586.50 and 674,190

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Solution

The third proportional to 462,586.50 and 674,190 is: 982,588.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,586.50 : 674,190 = 674,190 : x
  2. Step 2: Convert to fraction form
    462,586.50/674,190 = 674,190/x
  3. Step 3: Cross multiply
    462,586.50x = 674,190 × 674,190
  4. Step 4: Simplify right side
    462,586.50x = 454,532,156,100
  5. Step 5: Solve for x
    x = 454,532,156,100/462,586.50
  6. Step 6: Final answer
    x = 982,588.46

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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.