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Finding the Third Proportional to 352,690.50 and 514,270.50

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Solution

The third proportional to 352,690.50 and 514,270.50 is: 749,876.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,690.50 : 514,270.50 = 514,270.50 : x
  2. Step 2: Convert to fraction form
    352,690.50/514,270.50 = 514,270.50/x
  3. Step 3: Cross multiply
    352,690.50x = 514,270.50 × 514,270.50
  4. Step 4: Simplify right side
    352,690.50x = 264,474,147,170.25
  5. Step 5: Solve for x
    x = 264,474,147,170.25/352,690.50
  6. Step 6: Final answer
    x = 749,876.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.