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Finding the Third Proportional to 304,211.95 and 472,911.19

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Solution

The third proportional to 304,211.95 and 472,911.19 is: 735,161.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,211.95 : 472,911.19 = 472,911.19 : x
  2. Step 2: Convert to fraction form
    304,211.95/472,911.19 = 472,911.19/x
  3. Step 3: Cross multiply
    304,211.95x = 472,911.19 × 472,911.19
  4. Step 4: Simplify right side
    304,211.95x = 223,644,991,262.66
  5. Step 5: Solve for x
    x = 223,644,991,262.66/304,211.95
  6. Step 6: Final answer
    x = 735,161.75

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