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Finding the Third Proportional to 379,459.69 and 576,959.63

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Solution

The third proportional to 379,459.69 and 576,959.63 is: 877,253.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,459.69 : 576,959.63 = 576,959.63 : x
  2. Step 2: Convert to fraction form
    379,459.69/576,959.63 = 576,959.63/x
  3. Step 3: Cross multiply
    379,459.69x = 576,959.63 × 576,959.63
  4. Step 4: Simplify right side
    379,459.69x = 332,882,408,880.14
  5. Step 5: Solve for x
    x = 332,882,408,880.14/379,459.69
  6. Step 6: Final answer
    x = 877,253.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.