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Finding the Third Proportional to 215,787 and 462,786

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Solution

The third proportional to 215,787 and 462,786 is: 992,510.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,787 : 462,786 = 462,786 : x
  2. Step 2: Convert to fraction form
    215,787/462,786 = 462,786/x
  3. Step 3: Cross multiply
    215,787x = 462,786 × 462,786
  4. Step 4: Simplify right side
    215,787x = 214,170,881,796
  5. Step 5: Solve for x
    x = 214,170,881,796/215,787
  6. Step 6: Final answer
    x = 992,510.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.