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Finding the Third Proportional to 215,316 and 463,536

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Solution

The third proportional to 215,316 and 463,536 is: 997,908.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,316 : 463,536 = 463,536 : x
  2. Step 2: Convert to fraction form
    215,316/463,536 = 463,536/x
  3. Step 3: Cross multiply
    215,316x = 463,536 × 463,536
  4. Step 4: Simplify right side
    215,316x = 214,865,623,296
  5. Step 5: Solve for x
    x = 214,865,623,296/215,316
  6. Step 6: Final answer
    x = 997,908.30

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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.