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Finding the Third Proportional to 349,260 and 533,914.50

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Solution

The third proportional to 349,260 and 533,914.50 is: 816,196.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,260 : 533,914.50 = 533,914.50 : x
  2. Step 2: Convert to fraction form
    349,260/533,914.50 = 533,914.50/x
  3. Step 3: Cross multiply
    349,260x = 533,914.50 × 533,914.50
  4. Step 4: Simplify right side
    349,260x = 285,064,693,310.25
  5. Step 5: Solve for x
    x = 285,064,693,310.25/349,260
  6. Step 6: Final answer
    x = 816,196.22

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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.