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Finding the Third Proportional to 303,226.50 and 470,164.50

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Solution

The third proportional to 303,226.50 and 470,164.50 is: 729,008.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,226.50 : 470,164.50 = 470,164.50 : x
  2. Step 2: Convert to fraction form
    303,226.50/470,164.50 = 470,164.50/x
  3. Step 3: Cross multiply
    303,226.50x = 470,164.50 × 470,164.50
  4. Step 4: Simplify right side
    303,226.50x = 221,054,657,060.25
  5. Step 5: Solve for x
    x = 221,054,657,060.25/303,226.50
  6. Step 6: Final answer
    x = 729,008.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.