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Finding the Third Proportional to 469,972.13 and 685,153.69

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Solution

The third proportional to 469,972.13 and 685,153.69 is: 998,858.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,972.13 : 685,153.69 = 685,153.69 : x
  2. Step 2: Convert to fraction form
    469,972.13/685,153.69 = 685,153.69/x
  3. Step 3: Cross multiply
    469,972.13x = 685,153.69 × 685,153.69
  4. Step 4: Simplify right side
    469,972.13x = 469,435,575,494.85
  5. Step 5: Solve for x
    x = 469,435,575,494.85/469,972.13
  6. Step 6: Final answer
    x = 998,858.34

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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.