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Finding the Third Proportional to 364,918 and 581,104

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Solution

The third proportional to 364,918 and 581,104 is: 925,363.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,918 : 581,104 = 581,104 : x
  2. Step 2: Convert to fraction form
    364,918/581,104 = 581,104/x
  3. Step 3: Cross multiply
    364,918x = 581,104 × 581,104
  4. Step 4: Simplify right side
    364,918x = 337,681,858,816
  5. Step 5: Solve for x
    x = 337,681,858,816/364,918
  6. Step 6: Final answer
    x = 925,363.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.