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Finding the Third Proportional to 348,286.50 and 711,332

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Solution

The third proportional to 348,286.50 and 711,332 is: 1,452,807.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,286.50 : 711,332 = 711,332 : x
  2. Step 2: Convert to fraction form
    348,286.50/711,332 = 711,332/x
  3. Step 3: Cross multiply
    348,286.50x = 711,332 × 711,332
  4. Step 4: Simplify right side
    348,286.50x = 505,993,214,224
  5. Step 5: Solve for x
    x = 505,993,214,224/348,286.50
  6. Step 6: Final answer
    x = 1,452,807.43

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.