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Finding the Third Proportional to 304,240.75 and 472,968.65

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Solution

The third proportional to 304,240.75 and 472,968.65 is: 735,270.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,240.75 : 472,968.65 = 472,968.65 : x
  2. Step 2: Convert to fraction form
    304,240.75/472,968.65 = 472,968.65/x
  3. Step 3: Cross multiply
    304,240.75x = 472,968.65 × 472,968.65
  4. Step 4: Simplify right side
    304,240.75x = 223,699,344,252.33
  5. Step 5: Solve for x
    x = 223,699,344,252.33/304,240.75
  6. Step 6: Final answer
    x = 735,270.82

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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.