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Finding the Third Proportional to 384,313.50 and 610,684.88

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Solution

The third proportional to 384,313.50 and 610,684.88 is: 970,395.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,313.50 : 610,684.88 = 610,684.88 : x
  2. Step 2: Convert to fraction form
    384,313.50/610,684.88 = 610,684.88/x
  3. Step 3: Cross multiply
    384,313.50x = 610,684.88 × 610,684.88
  4. Step 4: Simplify right side
    384,313.50x = 372,936,016,553.77
  5. Step 5: Solve for x
    x = 372,936,016,553.77/384,313.50
  6. Step 6: Final answer
    x = 970,395.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.