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Finding the Third Proportional to 282,556 and 423,834

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Solution

The third proportional to 282,556 and 423,834 is: 635,751

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,556 : 423,834 = 423,834 : x
  2. Step 2: Convert to fraction form
    282,556/423,834 = 423,834/x
  3. Step 3: Cross multiply
    282,556x = 423,834 × 423,834
  4. Step 4: Simplify right side
    282,556x = 179,635,259,556
  5. Step 5: Solve for x
    x = 179,635,259,556/282,556
  6. Step 6: Final answer
    x = 635,751

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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.