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Finding the Third Proportional to 323,266 and 706,724

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Solution

The third proportional to 323,266 and 706,724 is: 1,545,039.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,266 : 706,724 = 706,724 : x
  2. Step 2: Convert to fraction form
    323,266/706,724 = 706,724/x
  3. Step 3: Cross multiply
    323,266x = 706,724 × 706,724
  4. Step 4: Simplify right side
    323,266x = 499,458,812,176
  5. Step 5: Solve for x
    x = 499,458,812,176/323,266
  6. Step 6: Final answer
    x = 1,545,039.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.