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Finding the Third Proportional to 304,466 and 463,880

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Solution

The third proportional to 304,466 and 463,880 is: 706,760.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,466 : 463,880 = 463,880 : x
  2. Step 2: Convert to fraction form
    304,466/463,880 = 463,880/x
  3. Step 3: Cross multiply
    304,466x = 463,880 × 463,880
  4. Step 4: Simplify right side
    304,466x = 215,184,654,400
  5. Step 5: Solve for x
    x = 215,184,654,400/304,466
  6. Step 6: Final answer
    x = 706,760.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.