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Finding the Third Proportional to 462,582.75 and 674,184.38

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Solution

The third proportional to 462,582.75 and 674,184.38 is: 982,580.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,582.75 : 674,184.38 = 674,184.38 : x
  2. Step 2: Convert to fraction form
    462,582.75/674,184.38 = 674,184.38/x
  3. Step 3: Cross multiply
    462,582.75x = 674,184.38 × 674,184.38
  4. Step 4: Simplify right side
    462,582.75x = 454,524,571,494.14
  5. Step 5: Solve for x
    x = 454,524,571,494.14/462,582.75
  6. Step 6: Final answer
    x = 982,580.03

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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.