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Finding the Third Proportional to 201,470.50 and 441,692

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Solution

The third proportional to 201,470.50 and 441,692 is: 968,339.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,470.50 : 441,692 = 441,692 : x
  2. Step 2: Convert to fraction form
    201,470.50/441,692 = 441,692/x
  3. Step 3: Cross multiply
    201,470.50x = 441,692 × 441,692
  4. Step 4: Simplify right side
    201,470.50x = 195,091,822,864
  5. Step 5: Solve for x
    x = 195,091,822,864/201,470.50
  6. Step 6: Final answer
    x = 968,339.40

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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.