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Finding the Third Proportional to 406,234 and 593,655

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Solution

The third proportional to 406,234 and 593,655 is: 867,544.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,234 : 593,655 = 593,655 : x
  2. Step 2: Convert to fraction form
    406,234/593,655 = 593,655/x
  3. Step 3: Cross multiply
    406,234x = 593,655 × 593,655
  4. Step 4: Simplify right side
    406,234x = 352,426,259,025
  5. Step 5: Solve for x
    x = 352,426,259,025/406,234
  6. Step 6: Final answer
    x = 867,544.96

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