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Finding the Third Proportional to 215,297 and 463,498

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Solution

The third proportional to 215,297 and 463,498 is: 997,832.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,297 : 463,498 = 463,498 : x
  2. Step 2: Convert to fraction form
    215,297/463,498 = 463,498/x
  3. Step 3: Cross multiply
    215,297x = 463,498 × 463,498
  4. Step 4: Simplify right side
    215,297x = 214,830,396,004
  5. Step 5: Solve for x
    x = 214,830,396,004/215,297
  6. Step 6: Final answer
    x = 997,832.74

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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.