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Finding the Third Proportional to 232,697 and 350,985

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Solution

The third proportional to 232,697 and 350,985 is: 529,402.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,697 : 350,985 = 350,985 : x
  2. Step 2: Convert to fraction form
    232,697/350,985 = 350,985/x
  3. Step 3: Cross multiply
    232,697x = 350,985 × 350,985
  4. Step 4: Simplify right side
    232,697x = 123,190,470,225
  5. Step 5: Solve for x
    x = 123,190,470,225/232,697
  6. Step 6: Final answer
    x = 529,402.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.