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Finding the Third Proportional to 296,125 and 433,132

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Solution

The third proportional to 296,125 and 433,132 is: 633,527.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,125 : 433,132 = 433,132 : x
  2. Step 2: Convert to fraction form
    296,125/433,132 = 433,132/x
  3. Step 3: Cross multiply
    296,125x = 433,132 × 433,132
  4. Step 4: Simplify right side
    296,125x = 187,603,329,424
  5. Step 5: Solve for x
    x = 187,603,329,424/296,125
  6. Step 6: Final answer
    x = 633,527.49

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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.