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Finding the Third Proportional to 215,322 and 463,548

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Solution

The third proportional to 215,322 and 463,548 is: 997,932.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,322 : 463,548 = 463,548 : x
  2. Step 2: Convert to fraction form
    215,322/463,548 = 463,548/x
  3. Step 3: Cross multiply
    215,322x = 463,548 × 463,548
  4. Step 4: Simplify right side
    215,322x = 214,876,748,304
  5. Step 5: Solve for x
    x = 214,876,748,304/215,322
  6. Step 6: Final answer
    x = 997,932.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.