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Finding the Third Proportional to 462,624.75 and 690,099.75

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Solution

The third proportional to 462,624.75 and 690,099.75 is: 1,029,425.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,624.75 : 690,099.75 = 690,099.75 : x
  2. Step 2: Convert to fraction form
    462,624.75/690,099.75 = 690,099.75/x
  3. Step 3: Cross multiply
    462,624.75x = 690,099.75 × 690,099.75
  4. Step 4: Simplify right side
    462,624.75x = 476,237,664,950.06
  5. Step 5: Solve for x
    x = 476,237,664,950.06/462,624.75
  6. Step 6: Final answer
    x = 1,029,425.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.