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Finding the Third Proportional to 310,845 and 467,421.38

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Solution

The third proportional to 310,845 and 467,421.38 is: 702,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,845 : 467,421.38 = 467,421.38 : x
  2. Step 2: Convert to fraction form
    310,845/467,421.38 = 467,421.38/x
  3. Step 3: Cross multiply
    310,845x = 467,421.38 × 467,421.38
  4. Step 4: Simplify right side
    310,845x = 218,482,741,806.89
  5. Step 5: Solve for x
    x = 218,482,741,806.89/310,845
  6. Step 6: Final answer
    x = 702,867.16

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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.