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Finding the Third Proportional to 322,870.50 and 703,869.75

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Solution

The third proportional to 322,870.50 and 703,869.75 is: 1,534,462.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,870.50 : 703,869.75 = 703,869.75 : x
  2. Step 2: Convert to fraction form
    322,870.50/703,869.75 = 703,869.75/x
  3. Step 3: Cross multiply
    322,870.50x = 703,869.75 × 703,869.75
  4. Step 4: Simplify right side
    322,870.50x = 495,432,624,965.06
  5. Step 5: Solve for x
    x = 495,432,624,965.06/322,870.50
  6. Step 6: Final answer
    x = 1,534,462.35

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.