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Finding the Third Proportional to 475,768.69 and 728,724.09

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Solution

The third proportional to 475,768.69 and 728,724.09 is: 1,116,170.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,768.69 : 728,724.09 = 728,724.09 : x
  2. Step 2: Convert to fraction form
    475,768.69/728,724.09 = 728,724.09/x
  3. Step 3: Cross multiply
    475,768.69x = 728,724.09 × 728,724.09
  4. Step 4: Simplify right side
    475,768.69x = 531,038,804,811.76
  5. Step 5: Solve for x
    x = 531,038,804,811.76/475,768.69
  6. Step 6: Final answer
    x = 1,116,170.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.