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Finding the Third Proportional to 295,518.38 and 468,018

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Solution

The third proportional to 295,518.38 and 468,018 is: 741,208.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,518.38 : 468,018 = 468,018 : x
  2. Step 2: Convert to fraction form
    295,518.38/468,018 = 468,018/x
  3. Step 3: Cross multiply
    295,518.38x = 468,018 × 468,018
  4. Step 4: Simplify right side
    295,518.38x = 219,040,848,324
  5. Step 5: Solve for x
    x = 219,040,848,324/295,518.38
  6. Step 6: Final answer
    x = 741,208.90

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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.