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Finding the Third Proportional to 338,668 and 723,992

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Solution

The third proportional to 338,668 and 723,992 is: 1,547,723.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,668 : 723,992 = 723,992 : x
  2. Step 2: Convert to fraction form
    338,668/723,992 = 723,992/x
  3. Step 3: Cross multiply
    338,668x = 723,992 × 723,992
  4. Step 4: Simplify right side
    338,668x = 524,164,416,064
  5. Step 5: Solve for x
    x = 524,164,416,064/338,668
  6. Step 6: Final answer
    x = 1,547,723.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.