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Finding the Third Proportional to 215,319 and 463,543

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Solution

The third proportional to 215,319 and 463,543 is: 997,924.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,319 : 463,543 = 463,543 : x
  2. Step 2: Convert to fraction form
    215,319/463,543 = 463,543/x
  3. Step 3: Cross multiply
    215,319x = 463,543 × 463,543
  4. Step 4: Simplify right side
    215,319x = 214,872,112,849
  5. Step 5: Solve for x
    x = 214,872,112,849/215,319
  6. Step 6: Final answer
    x = 997,924.53

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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.