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Finding the Third Proportional to 225,893.81 and 470,515.50

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Solution

The third proportional to 225,893.81 and 470,515.50 is: 980,039.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,893.81 : 470,515.50 = 470,515.50 : x
  2. Step 2: Convert to fraction form
    225,893.81/470,515.50 = 470,515.50/x
  3. Step 3: Cross multiply
    225,893.81x = 470,515.50 × 470,515.50
  4. Step 4: Simplify right side
    225,893.81x = 221,384,835,740.25
  5. Step 5: Solve for x
    x = 221,384,835,740.25/225,893.81
  6. Step 6: Final answer
    x = 980,039.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.