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Finding the Third Proportional to 296,127 and 433,126

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Solution

The third proportional to 296,127 and 433,126 is: 633,505.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,127 : 433,126 = 433,126 : x
  2. Step 2: Convert to fraction form
    296,127/433,126 = 433,126/x
  3. Step 3: Cross multiply
    296,127x = 433,126 × 433,126
  4. Step 4: Simplify right side
    296,127x = 187,598,131,876
  5. Step 5: Solve for x
    x = 187,598,131,876/296,127
  6. Step 6: Final answer
    x = 633,505.66

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Why These Related Problems?

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