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Finding the Third Proportional to 270,822 and 586,842

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Solution

The third proportional to 270,822 and 586,842 is: 1,271,623.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,822 : 586,842 = 586,842 : x
  2. Step 2: Convert to fraction form
    270,822/586,842 = 586,842/x
  3. Step 3: Cross multiply
    270,822x = 586,842 × 586,842
  4. Step 4: Simplify right side
    270,822x = 344,383,532,964
  5. Step 5: Solve for x
    x = 344,383,532,964/270,822
  6. Step 6: Final answer
    x = 1,271,623.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.