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Finding the Third Proportional to 310,829.63 and 481,416.75

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Solution

The third proportional to 310,829.63 and 481,416.75 is: 745,624.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,829.63 : 481,416.75 = 481,416.75 : x
  2. Step 2: Convert to fraction form
    310,829.63/481,416.75 = 481,416.75/x
  3. Step 3: Cross multiply
    310,829.63x = 481,416.75 × 481,416.75
  4. Step 4: Simplify right side
    310,829.63x = 231,762,087,180.56
  5. Step 5: Solve for x
    x = 231,762,087,180.56/310,829.63
  6. Step 6: Final answer
    x = 745,624.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.