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Finding the Third Proportional to 468,415.50 and 701,343

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Solution

The third proportional to 468,415.50 and 701,343 is: 1,050,097.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,415.50 : 701,343 = 701,343 : x
  2. Step 2: Convert to fraction form
    468,415.50/701,343 = 701,343/x
  3. Step 3: Cross multiply
    468,415.50x = 701,343 × 701,343
  4. Step 4: Simplify right side
    468,415.50x = 491,882,003,649
  5. Step 5: Solve for x
    x = 491,882,003,649/468,415.50
  6. Step 6: Final answer
    x = 1,050,097.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.