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Finding the Third Proportional to 321,768 and 706,980

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Solution

The third proportional to 321,768 and 706,980 is: 1,553,357.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,768 : 706,980 = 706,980 : x
  2. Step 2: Convert to fraction form
    321,768/706,980 = 706,980/x
  3. Step 3: Cross multiply
    321,768x = 706,980 × 706,980
  4. Step 4: Simplify right side
    321,768x = 499,820,720,400
  5. Step 5: Solve for x
    x = 499,820,720,400/321,768
  6. Step 6: Final answer
    x = 1,553,357.45

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