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Finding the Third Proportional to 411,202.75 and 616,804

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Solution

The third proportional to 411,202.75 and 616,804 is: 925,205.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,202.75 : 616,804 = 616,804 : x
  2. Step 2: Convert to fraction form
    411,202.75/616,804 = 616,804/x
  3. Step 3: Cross multiply
    411,202.75x = 616,804 × 616,804
  4. Step 4: Simplify right side
    411,202.75x = 380,447,174,416
  5. Step 5: Solve for x
    x = 380,447,174,416/411,202.75
  6. Step 6: Final answer
    x = 925,205.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.