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Finding the Third Proportional to 304,274.25 and 472,995

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Solution

The third proportional to 304,274.25 and 472,995 is: 735,271.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,274.25 : 472,995 = 472,995 : x
  2. Step 2: Convert to fraction form
    304,274.25/472,995 = 472,995/x
  3. Step 3: Cross multiply
    304,274.25x = 472,995 × 472,995
  4. Step 4: Simplify right side
    304,274.25x = 223,724,270,025
  5. Step 5: Solve for x
    x = 223,724,270,025/304,274.25
  6. Step 6: Final answer
    x = 735,271.78

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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.