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Finding the Third Proportional to 333,132 and 437,373

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Solution

The third proportional to 333,132 and 437,373 is: 574,232.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,132 : 437,373 = 437,373 : x
  2. Step 2: Convert to fraction form
    333,132/437,373 = 437,373/x
  3. Step 3: Cross multiply
    333,132x = 437,373 × 437,373
  4. Step 4: Simplify right side
    333,132x = 191,295,141,129
  5. Step 5: Solve for x
    x = 191,295,141,129/333,132
  6. Step 6: Final answer
    x = 574,232.26

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.