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Finding the Third Proportional to 304,812 and 466,002

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Solution

The third proportional to 304,812 and 466,002 is: 712,432.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,812 : 466,002 = 466,002 : x
  2. Step 2: Convert to fraction form
    304,812/466,002 = 466,002/x
  3. Step 3: Cross multiply
    304,812x = 466,002 × 466,002
  4. Step 4: Simplify right side
    304,812x = 217,157,864,004
  5. Step 5: Solve for x
    x = 217,157,864,004/304,812
  6. Step 6: Final answer
    x = 712,432.14

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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.