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Finding the Third Proportional to 200,004.75 and 435,960

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Solution

The third proportional to 200,004.75 and 435,960 is: 950,283.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,004.75 : 435,960 = 435,960 : x
  2. Step 2: Convert to fraction form
    200,004.75/435,960 = 435,960/x
  3. Step 3: Cross multiply
    200,004.75x = 435,960 × 435,960
  4. Step 4: Simplify right side
    200,004.75x = 190,061,121,600
  5. Step 5: Solve for x
    x = 190,061,121,600/200,004.75
  6. Step 6: Final answer
    x = 950,283.04

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.