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Finding the Third Proportional to 336,992 and 721,368

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Solution

The third proportional to 336,992 and 721,368 is: 1,544,166.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,992 : 721,368 = 721,368 : x
  2. Step 2: Convert to fraction form
    336,992/721,368 = 721,368/x
  3. Step 3: Cross multiply
    336,992x = 721,368 × 721,368
  4. Step 4: Simplify right side
    336,992x = 520,371,791,424
  5. Step 5: Solve for x
    x = 520,371,791,424/336,992
  6. Step 6: Final answer
    x = 1,544,166.60

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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.