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Finding the Third Proportional to 295,569 and 468,099

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Solution

The third proportional to 295,569 and 468,099 is: 741,338.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,569 : 468,099 = 468,099 : x
  2. Step 2: Convert to fraction form
    295,569/468,099 = 468,099/x
  3. Step 3: Cross multiply
    295,569x = 468,099 × 468,099
  4. Step 4: Simplify right side
    295,569x = 219,116,673,801
  5. Step 5: Solve for x
    x = 219,116,673,801/295,569
  6. Step 6: Final answer
    x = 741,338.48

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.