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Finding the Third Proportional to 332,475 and 706,381

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Solution

The third proportional to 332,475 and 706,381 is: 1,500,786.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,475 : 706,381 = 706,381 : x
  2. Step 2: Convert to fraction form
    332,475/706,381 = 706,381/x
  3. Step 3: Cross multiply
    332,475x = 706,381 × 706,381
  4. Step 4: Simplify right side
    332,475x = 498,974,117,161
  5. Step 5: Solve for x
    x = 498,974,117,161/332,475
  6. Step 6: Final answer
    x = 1,500,786.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.