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Finding the Third Proportional to 304,034.50 and 472,893

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Solution

The third proportional to 304,034.50 and 472,893 is: 735,534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,034.50 : 472,893 = 472,893 : x
  2. Step 2: Convert to fraction form
    304,034.50/472,893 = 472,893/x
  3. Step 3: Cross multiply
    304,034.50x = 472,893 × 472,893
  4. Step 4: Simplify right side
    304,034.50x = 223,627,789,449
  5. Step 5: Solve for x
    x = 223,627,789,449/304,034.50
  6. Step 6: Final answer
    x = 735,534.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.