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Finding the Third Proportional to 214,013 and 463,691.50

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Solution

The third proportional to 214,013 and 463,691.50 is: 1,004,657.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,013 : 463,691.50 = 463,691.50 : x
  2. Step 2: Convert to fraction form
    214,013/463,691.50 = 463,691.50/x
  3. Step 3: Cross multiply
    214,013x = 463,691.50 × 463,691.50
  4. Step 4: Simplify right side
    214,013x = 215,009,807,172.25
  5. Step 5: Solve for x
    x = 215,009,807,172.25/214,013
  6. Step 6: Final answer
    x = 1,004,657.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.