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Finding the Third Proportional to 468,099 and 685,486

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Solution

The third proportional to 468,099 and 685,486 is: 1,003,828.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,099 : 685,486 = 685,486 : x
  2. Step 2: Convert to fraction form
    468,099/685,486 = 685,486/x
  3. Step 3: Cross multiply
    468,099x = 685,486 × 685,486
  4. Step 4: Simplify right side
    468,099x = 469,891,056,196
  5. Step 5: Solve for x
    x = 469,891,056,196/468,099
  6. Step 6: Final answer
    x = 1,003,828.37

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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.