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Finding the Third Proportional to 215,316 and 463,530

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Solution

The third proportional to 215,316 and 463,530 is: 997,882.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,316 : 463,530 = 463,530 : x
  2. Step 2: Convert to fraction form
    215,316/463,530 = 463,530/x
  3. Step 3: Cross multiply
    215,316x = 463,530 × 463,530
  4. Step 4: Simplify right side
    215,316x = 214,860,060,900
  5. Step 5: Solve for x
    x = 214,860,060,900/215,316
  6. Step 6: Final answer
    x = 997,882.47

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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.