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Finding the Third Proportional to 344,479 and 489,927

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Solution

The third proportional to 344,479 and 489,927 is: 696,786.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,479 : 489,927 = 489,927 : x
  2. Step 2: Convert to fraction form
    344,479/489,927 = 489,927/x
  3. Step 3: Cross multiply
    344,479x = 489,927 × 489,927
  4. Step 4: Simplify right side
    344,479x = 240,028,465,329
  5. Step 5: Solve for x
    x = 240,028,465,329/344,479
  6. Step 6: Final answer
    x = 696,786.93

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.