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Finding the Third Proportional to 304,301.25 and 466,719.75

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Solution

The third proportional to 304,301.25 and 466,719.75 is: 715,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,301.25 : 466,719.75 = 466,719.75 : x
  2. Step 2: Convert to fraction form
    304,301.25/466,719.75 = 466,719.75/x
  3. Step 3: Cross multiply
    304,301.25x = 466,719.75 × 466,719.75
  4. Step 4: Simplify right side
    304,301.25x = 217,827,325,040.06
  5. Step 5: Solve for x
    x = 217,827,325,040.06/304,301.25
  6. Step 6: Final answer
    x = 715,827.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.