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Finding the Third Proportional to 489,864 and 749,340

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Solution

The third proportional to 489,864 and 749,340 is: 1,146,257.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,864 : 749,340 = 749,340 : x
  2. Step 2: Convert to fraction form
    489,864/749,340 = 749,340/x
  3. Step 3: Cross multiply
    489,864x = 749,340 × 749,340
  4. Step 4: Simplify right side
    489,864x = 561,510,435,600
  5. Step 5: Solve for x
    x = 561,510,435,600/489,864
  6. Step 6: Final answer
    x = 1,146,257.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.