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Finding the Third Proportional to 340,581 and 462,757.50

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Solution

The third proportional to 340,581 and 462,757.50 is: 628,762.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,581 : 462,757.50 = 462,757.50 : x
  2. Step 2: Convert to fraction form
    340,581/462,757.50 = 462,757.50/x
  3. Step 3: Cross multiply
    340,581x = 462,757.50 × 462,757.50
  4. Step 4: Simplify right side
    340,581x = 214,144,503,806.25
  5. Step 5: Solve for x
    x = 214,144,503,806.25/340,581
  6. Step 6: Final answer
    x = 628,762.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.