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Finding the Third Proportional to 285,352 and 607,568

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Solution

The third proportional to 285,352 and 607,568 is: 1,293,626.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,352 : 607,568 = 607,568 : x
  2. Step 2: Convert to fraction form
    285,352/607,568 = 607,568/x
  3. Step 3: Cross multiply
    285,352x = 607,568 × 607,568
  4. Step 4: Simplify right side
    285,352x = 369,138,874,624
  5. Step 5: Solve for x
    x = 369,138,874,624/285,352
  6. Step 6: Final answer
    x = 1,293,626.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.