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Finding the Third Proportional to 384,736.50 and 660,141

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Solution

The third proportional to 384,736.50 and 660,141 is: 1,132,687.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,736.50 : 660,141 = 660,141 : x
  2. Step 2: Convert to fraction form
    384,736.50/660,141 = 660,141/x
  3. Step 3: Cross multiply
    384,736.50x = 660,141 × 660,141
  4. Step 4: Simplify right side
    384,736.50x = 435,786,139,881
  5. Step 5: Solve for x
    x = 435,786,139,881/384,736.50
  6. Step 6: Final answer
    x = 1,132,687.28

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.