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Finding the Third Proportional to 296,233 and 430,903

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Solution

The third proportional to 296,233 and 430,903 is: 626,795.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,233 : 430,903 = 430,903 : x
  2. Step 2: Convert to fraction form
    296,233/430,903 = 430,903/x
  3. Step 3: Cross multiply
    296,233x = 430,903 × 430,903
  4. Step 4: Simplify right side
    296,233x = 185,677,395,409
  5. Step 5: Solve for x
    x = 185,677,395,409/296,233
  6. Step 6: Final answer
    x = 626,795.11

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.