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Finding the Third Proportional to 350,025 and 763,402.50

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Solution

The third proportional to 350,025 and 763,402.50 is: 1,664,976.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,025 : 763,402.50 = 763,402.50 : x
  2. Step 2: Convert to fraction form
    350,025/763,402.50 = 763,402.50/x
  3. Step 3: Cross multiply
    350,025x = 763,402.50 × 763,402.50
  4. Step 4: Simplify right side
    350,025x = 582,783,377,006.25
  5. Step 5: Solve for x
    x = 582,783,377,006.25/350,025
  6. Step 6: Final answer
    x = 1,664,976.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.