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Finding the Third Proportional to 214,365 and 465,622

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Solution

The third proportional to 214,365 and 465,622 is: 1,011,377.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,365 : 465,622 = 465,622 : x
  2. Step 2: Convert to fraction form
    214,365/465,622 = 465,622/x
  3. Step 3: Cross multiply
    214,365x = 465,622 × 465,622
  4. Step 4: Simplify right side
    214,365x = 216,803,846,884
  5. Step 5: Solve for x
    x = 216,803,846,884/214,365
  6. Step 6: Final answer
    x = 1,011,377.08

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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.