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Finding the Third Proportional to 322,966 and 695,288

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Solution

The third proportional to 322,966 and 695,288 is: 1,496,830.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,966 : 695,288 = 695,288 : x
  2. Step 2: Convert to fraction form
    322,966/695,288 = 695,288/x
  3. Step 3: Cross multiply
    322,966x = 695,288 × 695,288
  4. Step 4: Simplify right side
    322,966x = 483,425,402,944
  5. Step 5: Solve for x
    x = 483,425,402,944/322,966
  6. Step 6: Final answer
    x = 1,496,830.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.