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Finding the Third Proportional to 176,022 and 410,733

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Solution

The third proportional to 176,022 and 410,733 is: 958,412.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,022 : 410,733 = 410,733 : x
  2. Step 2: Convert to fraction form
    176,022/410,733 = 410,733/x
  3. Step 3: Cross multiply
    176,022x = 410,733 × 410,733
  4. Step 4: Simplify right side
    176,022x = 168,701,597,289
  5. Step 5: Solve for x
    x = 168,701,597,289/176,022
  6. Step 6: Final answer
    x = 958,412.00

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.