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Finding the Third Proportional to 321,701 and 706,852

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Solution

The third proportional to 321,701 and 706,852 is: 1,553,118.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,701 : 706,852 = 706,852 : x
  2. Step 2: Convert to fraction form
    321,701/706,852 = 706,852/x
  3. Step 3: Cross multiply
    321,701x = 706,852 × 706,852
  4. Step 4: Simplify right side
    321,701x = 499,639,749,904
  5. Step 5: Solve for x
    x = 499,639,749,904/321,701
  6. Step 6: Final answer
    x = 1,553,118.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.