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Finding the Third Proportional to 382,473 and 596,992

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Solution

The third proportional to 382,473 and 596,992 is: 931,829.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,473 : 596,992 = 596,992 : x
  2. Step 2: Convert to fraction form
    382,473/596,992 = 596,992/x
  3. Step 3: Cross multiply
    382,473x = 596,992 × 596,992
  4. Step 4: Simplify right side
    382,473x = 356,399,448,064
  5. Step 5: Solve for x
    x = 356,399,448,064/382,473
  6. Step 6: Final answer
    x = 931,829.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.