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Finding the Third Proportional to 212,481 and 465,786

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Solution

The third proportional to 212,481 and 465,786 is: 1,021,063.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,481 : 465,786 = 465,786 : x
  2. Step 2: Convert to fraction form
    212,481/465,786 = 465,786/x
  3. Step 3: Cross multiply
    212,481x = 465,786 × 465,786
  4. Step 4: Simplify right side
    212,481x = 216,956,597,796
  5. Step 5: Solve for x
    x = 216,956,597,796/212,481
  6. Step 6: Final answer
    x = 1,021,063.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.