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Finding the Third Proportional to 382,347 and 573,664

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Solution

The third proportional to 382,347 and 573,664 is: 860,711.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,347 : 573,664 = 573,664 : x
  2. Step 2: Convert to fraction form
    382,347/573,664 = 573,664/x
  3. Step 3: Cross multiply
    382,347x = 573,664 × 573,664
  4. Step 4: Simplify right side
    382,347x = 329,090,384,896
  5. Step 5: Solve for x
    x = 329,090,384,896/382,347
  6. Step 6: Final answer
    x = 860,711.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.