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Finding the Third Proportional to 322,582.50 and 697,653

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Solution

The third proportional to 322,582.50 and 697,653 is: 1,508,822.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,582.50 : 697,653 = 697,653 : x
  2. Step 2: Convert to fraction form
    322,582.50/697,653 = 697,653/x
  3. Step 3: Cross multiply
    322,582.50x = 697,653 × 697,653
  4. Step 4: Simplify right side
    322,582.50x = 486,719,708,409
  5. Step 5: Solve for x
    x = 486,719,708,409/322,582.50
  6. Step 6: Final answer
    x = 1,508,822.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.