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Finding the Third Proportional to 304,830.75 and 468,727.75

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Solution

The third proportional to 304,830.75 and 468,727.75 is: 720,746.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,830.75 : 468,727.75 = 468,727.75 : x
  2. Step 2: Convert to fraction form
    304,830.75/468,727.75 = 468,727.75/x
  3. Step 3: Cross multiply
    304,830.75x = 468,727.75 × 468,727.75
  4. Step 4: Simplify right side
    304,830.75x = 219,705,703,620.06
  5. Step 5: Solve for x
    x = 219,705,703,620.06/304,830.75
  6. Step 6: Final answer
    x = 720,746.52

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.