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Finding the Third Proportional to 353,694 and 499,992

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Solution

The third proportional to 353,694 and 499,992 is: 706,803.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,694 : 499,992 = 499,992 : x
  2. Step 2: Convert to fraction form
    353,694/499,992 = 499,992/x
  3. Step 3: Cross multiply
    353,694x = 499,992 × 499,992
  4. Step 4: Simplify right side
    353,694x = 249,992,000,064
  5. Step 5: Solve for x
    x = 249,992,000,064/353,694
  6. Step 6: Final answer
    x = 706,803.06

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.