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Finding the Third Proportional to 282,598 and 396,056

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Solution

The third proportional to 282,598 and 396,056 is: 555,065.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,598 : 396,056 = 396,056 : x
  2. Step 2: Convert to fraction form
    282,598/396,056 = 396,056/x
  3. Step 3: Cross multiply
    282,598x = 396,056 × 396,056
  4. Step 4: Simplify right side
    282,598x = 156,860,355,136
  5. Step 5: Solve for x
    x = 156,860,355,136/282,598
  6. Step 6: Final answer
    x = 555,065.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.