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Finding the Third Proportional to 585,376 and 875,568

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Solution

The third proportional to 585,376 and 875,568 is: 1,309,618.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,376 : 875,568 = 875,568 : x
  2. Step 2: Convert to fraction form
    585,376/875,568 = 875,568/x
  3. Step 3: Cross multiply
    585,376x = 875,568 × 875,568
  4. Step 4: Simplify right side
    585,376x = 766,619,322,624
  5. Step 5: Solve for x
    x = 766,619,322,624/585,376
  6. Step 6: Final answer
    x = 1,309,618.64

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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.