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Finding the Third Proportional to 357,236 and 763,600

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Solution

The third proportional to 357,236 and 763,600 is: 1,632,212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,236 : 763,600 = 763,600 : x
  2. Step 2: Convert to fraction form
    357,236/763,600 = 763,600/x
  3. Step 3: Cross multiply
    357,236x = 763,600 × 763,600
  4. Step 4: Simplify right side
    357,236x = 583,084,960,000
  5. Step 5: Solve for x
    x = 583,084,960,000/357,236
  6. Step 6: Final answer
    x = 1,632,212.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.