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Finding the Third Proportional to 337,992 and 714,000

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Solution

The third proportional to 337,992 and 714,000 is: 1,508,307.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,992 : 714,000 = 714,000 : x
  2. Step 2: Convert to fraction form
    337,992/714,000 = 714,000/x
  3. Step 3: Cross multiply
    337,992x = 714,000 × 714,000
  4. Step 4: Simplify right side
    337,992x = 509,796,000,000
  5. Step 5: Solve for x
    x = 509,796,000,000/337,992
  6. Step 6: Final answer
    x = 1,508,307.89

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.