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Finding the Third Proportional to 323,724 and 711,684

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Solution

The third proportional to 323,724 and 711,684 is: 1,564,586.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,724 : 711,684 = 711,684 : x
  2. Step 2: Convert to fraction form
    323,724/711,684 = 711,684/x
  3. Step 3: Cross multiply
    323,724x = 711,684 × 711,684
  4. Step 4: Simplify right side
    323,724x = 506,494,115,856
  5. Step 5: Solve for x
    x = 506,494,115,856/323,724
  6. Step 6: Final answer
    x = 1,564,586.24

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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.