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Finding the Third Proportional to 357,234 and 763,595

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Solution

The third proportional to 357,234 and 763,595 is: 1,632,199.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,234 : 763,595 = 763,595 : x
  2. Step 2: Convert to fraction form
    357,234/763,595 = 763,595/x
  3. Step 3: Cross multiply
    357,234x = 763,595 × 763,595
  4. Step 4: Simplify right side
    357,234x = 583,077,324,025
  5. Step 5: Solve for x
    x = 583,077,324,025/357,234
  6. Step 6: Final answer
    x = 1,632,199.97

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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.