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Finding the Third Proportional to 384,536 and 573,617

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Solution

The third proportional to 384,536 and 573,617 is: 855,671.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,536 : 573,617 = 573,617 : x
  2. Step 2: Convert to fraction form
    384,536/573,617 = 573,617/x
  3. Step 3: Cross multiply
    384,536x = 573,617 × 573,617
  4. Step 4: Simplify right side
    384,536x = 329,036,462,689
  5. Step 5: Solve for x
    x = 329,036,462,689/384,536
  6. Step 6: Final answer
    x = 855,671.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.