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Finding the Third Proportional to 323,736 and 711,708

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Solution

The third proportional to 323,736 and 711,708 is: 1,564,633.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,736 : 711,708 = 711,708 : x
  2. Step 2: Convert to fraction form
    323,736/711,708 = 711,708/x
  3. Step 3: Cross multiply
    323,736x = 711,708 × 711,708
  4. Step 4: Simplify right side
    323,736x = 506,528,277,264
  5. Step 5: Solve for x
    x = 506,528,277,264/323,736
  6. Step 6: Final answer
    x = 1,564,633.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.