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Finding the Third Proportional to 267,894 and 590,304

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Solution

The third proportional to 267,894 and 590,304 is: 1,300,733.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,894 : 590,304 = 590,304 : x
  2. Step 2: Convert to fraction form
    267,894/590,304 = 590,304/x
  3. Step 3: Cross multiply
    267,894x = 590,304 × 590,304
  4. Step 4: Simplify right side
    267,894x = 348,458,812,416
  5. Step 5: Solve for x
    x = 348,458,812,416/267,894
  6. Step 6: Final answer
    x = 1,300,733.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.