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Finding the Third Proportional to 304,044.75 and 476,946

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Solution

The third proportional to 304,044.75 and 476,946 is: 748,171.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,044.75 : 476,946 = 476,946 : x
  2. Step 2: Convert to fraction form
    304,044.75/476,946 = 476,946/x
  3. Step 3: Cross multiply
    304,044.75x = 476,946 × 476,946
  4. Step 4: Simplify right side
    304,044.75x = 227,477,486,916
  5. Step 5: Solve for x
    x = 227,477,486,916/304,044.75
  6. Step 6: Final answer
    x = 748,171.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.