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Finding the Third Proportional to 384,571.50 and 841,610

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Solution

The third proportional to 384,571.50 and 841,610 is: 1,841,809.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,571.50 : 841,610 = 841,610 : x
  2. Step 2: Convert to fraction form
    384,571.50/841,610 = 841,610/x
  3. Step 3: Cross multiply
    384,571.50x = 841,610 × 841,610
  4. Step 4: Simplify right side
    384,571.50x = 708,307,392,100
  5. Step 5: Solve for x
    x = 708,307,392,100/384,571.50
  6. Step 6: Final answer
    x = 1,841,809.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.