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Finding the Third Proportional to 312,962 and 468,243

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Solution

The third proportional to 312,962 and 468,243 is: 700,569.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,962 : 468,243 = 468,243 : x
  2. Step 2: Convert to fraction form
    312,962/468,243 = 468,243/x
  3. Step 3: Cross multiply
    312,962x = 468,243 × 468,243
  4. Step 4: Simplify right side
    312,962x = 219,251,507,049
  5. Step 5: Solve for x
    x = 219,251,507,049/312,962
  6. Step 6: Final answer
    x = 700,569.10

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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.