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Finding the Third Proportional to 304,365.50 and 473,126

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Solution

The third proportional to 304,365.50 and 473,126 is: 735,458.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,365.50 : 473,126 = 473,126 : x
  2. Step 2: Convert to fraction form
    304,365.50/473,126 = 473,126/x
  3. Step 3: Cross multiply
    304,365.50x = 473,126 × 473,126
  4. Step 4: Simplify right side
    304,365.50x = 223,848,211,876
  5. Step 5: Solve for x
    x = 223,848,211,876/304,365.50
  6. Step 6: Final answer
    x = 735,458.56

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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.