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Finding the Third Proportional to 322,962 and 708,132

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Solution

The third proportional to 322,962 and 708,132 is: 1,552,662.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,962 : 708,132 = 708,132 : x
  2. Step 2: Convert to fraction form
    322,962/708,132 = 708,132/x
  3. Step 3: Cross multiply
    322,962x = 708,132 × 708,132
  4. Step 4: Simplify right side
    322,962x = 501,450,929,424
  5. Step 5: Solve for x
    x = 501,450,929,424/322,962
  6. Step 6: Final answer
    x = 1,552,662.32

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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.