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Finding the Third Proportional to 383,046.75 and 579,903.75

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Solution

The third proportional to 383,046.75 and 579,903.75 is: 877,930.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,046.75 : 579,903.75 = 579,903.75 : x
  2. Step 2: Convert to fraction form
    383,046.75/579,903.75 = 579,903.75/x
  3. Step 3: Cross multiply
    383,046.75x = 579,903.75 × 579,903.75
  4. Step 4: Simplify right side
    383,046.75x = 336,288,359,264.06
  5. Step 5: Solve for x
    x = 336,288,359,264.06/383,046.75
  6. Step 6: Final answer
    x = 877,930.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.