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Finding the Third Proportional to 326,717 and 707,724

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Solution

The third proportional to 326,717 and 707,724 is: 1,533,049.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,717 : 707,724 = 707,724 : x
  2. Step 2: Convert to fraction form
    326,717/707,724 = 707,724/x
  3. Step 3: Cross multiply
    326,717x = 707,724 × 707,724
  4. Step 4: Simplify right side
    326,717x = 500,873,260,176
  5. Step 5: Solve for x
    x = 500,873,260,176/326,717
  6. Step 6: Final answer
    x = 1,533,049.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.