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Finding the Third Proportional to 304,214 and 472,914

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Solution

The third proportional to 304,214 and 472,914 is: 735,165.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,214 : 472,914 = 472,914 : x
  2. Step 2: Convert to fraction form
    304,214/472,914 = 472,914/x
  3. Step 3: Cross multiply
    304,214x = 472,914 × 472,914
  4. Step 4: Simplify right side
    304,214x = 223,647,651,396
  5. Step 5: Solve for x
    x = 223,647,651,396/304,214
  6. Step 6: Final answer
    x = 735,165.55

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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.