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Finding the Third Proportional to 432,132 and 573,423

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Solution

The third proportional to 432,132 and 573,423 is: 760,910.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,132 : 573,423 = 573,423 : x
  2. Step 2: Convert to fraction form
    432,132/573,423 = 573,423/x
  3. Step 3: Cross multiply
    432,132x = 573,423 × 573,423
  4. Step 4: Simplify right side
    432,132x = 328,813,936,929
  5. Step 5: Solve for x
    x = 328,813,936,929/432,132
  6. Step 6: Final answer
    x = 760,910.87

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.