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Finding the Third Proportional to 350,200.50 and 765,273

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Solution

The third proportional to 350,200.50 and 765,273 is: 1,672,307.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,200.50 : 765,273 = 765,273 : x
  2. Step 2: Convert to fraction form
    350,200.50/765,273 = 765,273/x
  3. Step 3: Cross multiply
    350,200.50x = 765,273 × 765,273
  4. Step 4: Simplify right side
    350,200.50x = 585,642,764,529
  5. Step 5: Solve for x
    x = 585,642,764,529/350,200.50
  6. Step 6: Final answer
    x = 1,672,307.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.