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Finding the Third Proportional to 304,224.75 and 472,929.75

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Solution

The third proportional to 304,224.75 and 472,929.75 is: 735,188.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,224.75 : 472,929.75 = 472,929.75 : x
  2. Step 2: Convert to fraction form
    304,224.75/472,929.75 = 472,929.75/x
  3. Step 3: Cross multiply
    304,224.75x = 472,929.75 × 472,929.75
  4. Step 4: Simplify right side
    304,224.75x = 223,662,548,435.06
  5. Step 5: Solve for x
    x = 223,662,548,435.06/304,224.75
  6. Step 6: Final answer
    x = 735,188.54

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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.